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An equilateral triangle and a regular hexagon have equal perimeters. What is the area of the triangle, if the area of the hexagon is 120? I don't get it

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  1. Math

    An equilateral triangle and a regular hexagon have equal perimeters. What is the area of the triangle, if the area of the hexagon is 120? I don't get it
  2. Mathematics

    3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leave radicals in your answers. How many equilateral triangles are there? __________ If we cut an equilateral down the middle (green
  3. Geometry / Trig

    What is the area of a regular hexagon with a distance from its center to a vertex of 1 cm? (Hint: A regular hexagon can be divided into six equilateral triangles.) hex The area of the regular hexagon is _____ ?
  4. geometry

    ok i have 2 problems and id appreciate it if someone can help :) 1. given hexagon ABCDEF with diagonal AC being 2 calculate the area and perimeter of the hexagon. 2. the perimeter of an equilateral triangle is equal to its area. find the side length
  5. Geometry

    A regular hexagon is made from equilateral triangle by cutting along the dotted lines and removing the three smaller triangles. if triangle has a perimeter of 18, what is the perimeter of hexagon?
  6. math

    15. which of the following figures will not tessellate the plane? a. rhombus b. equilateral triangle c. regular hexagon d. regular pentagon
  7. math

    An equilateral triangle and a regular hexagon share a common side. The perimeter of the triangle is 20 cm. What is the perimeter of the hexagon?
  8. Math

    A regular hexagon (ABCDEF) shape of city center in Egypt with sides all of lenght 4 km and with center at 0 (letter). The interior angles of the hexagon are all equal. The interior angles of a polygon with n equal sides and n equal angles (regular polygon)
  9. help hexagon geometry

    A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon? Express your answer as a common fraction. How is this
  10. Geometry

    If each side of a regular pentagon is x^2 + 17 and each side of a regular hexagon is x^2 + 2x, for what value or values of x will the perimeters of the figures be equal?
  11. math

    If each side of a regular pentagon is X2 + 17 and each side of a regular hexagon is x2 + 2x, for what value or values of x will be the perimeters of the figures be equal
  12. gr.7 math

    State whether or not each figure has rotational symmetry. a) scalene triangle b) equilateral triangle c) rectangle d) square e) regular hexagon
  13. math

    State whether or not each figure has rotational symmetry. a) scalene triangle b) equilateral triangle c) rectangle d) square e) regular hexagon
  14. math

    which shape will create tessellation using only translations? A. scalene triangle B. regular hexagon C. equilateral triangle D. isosceles trapezoid
  15. Math

    An equilateral triangle and a regular pentagon have equal perimeters and one side length 5 what is the length of 3 sides of the pentagon?
  16. math

    Two regular hexagons are similar. The perimeters have a ratio of 5: 2. If the side of the larger hexagon has a length of 25 inches, what is the perimeter of the smaller hexagon? AND COULD SOMEONE PLEASE ANSWER IT!?
  17. Geometry

    Can anybody help me with this word problem? A homeowner, who loves math, decides to make a garden/patio area in the following way. She decides to make the gardening area, where she will plant roses bushes in the shape of an equilateral triangle having a
  18. geometry

    Theres a circle with an equilateral triangle in the middle. The traingles edges all touch the circle. The radius of the circle is 8 meters. How do I find the area of the triangle? Sorry The triangles edges don't touch the circle, the points do. Did you
  19. Math

    An equilateral triangle s divided into 4 congruent equilateral triangles. What method can be used to find the area of the larger equilaterl triangle give the area of one of the smaller triangles? F. Multiply the area of the larger equilateral triangle by 4
  20. Math

    #4. 1. the mystery shape has at least 2 congruent sides. 2. it has fewer than 2 obtuse angles. 3. it has more than 1 line of symmetry. 4. it has at least 1 acute angle. A. equilateral triangle B. trapezoid C. square D. lsosceles right triangle E.
  21. Math

    A square and an equilateral triangle have equal perimeters. The area of the triangle is 16�ã3 square centimeters, how long in centimeters is a diagonal of the square? Express your answer in simplest radical form.
  22. Math, Geometry

    A square and an equilateral triangle have equal perimeters. The area of the triangle is 2\sqrt {3} square inches. What is the number of inches in the length of the diagonal of the square? Please give me a full clear explanation with the answer.
  23. Math

    The hexagon below is made up of six equilateral triangles with sides of 6 centimeters each. The height of each triangle is 5.2 centimeters. What is the area of the hexagon
  24. math

    how do you find the area of a hexagon? Here is the formula: Area of regular hexagon: (sqrt3/ 2)(Wsqrd) Where sqrt=square root W=the smallest width of the hexagon sqrd=squared
  25. Math

    What is the ratio of the area of a regular hexagon to the area of the hexagon which uses the midpoints of the first hexagon's sides as its vertices? Express your answer as a common fraction.
  26. Physics

    An equilateral triangle initially has side length equal to 17 cm. Each vertex begins moving in a straight line towards the midpoint of the opposite side at a constant rate of 2.3 cm/s, continuously forming progressively smaller equilateral triangles until
  27. geometry

    Thye area of a regular hexagon is 38 cm^2. What is the area of a regular hexagon with sides 4 times as long?
  28. Mathematics

    the area of a regular hexagon is given as 384√3 a. how long is each side of a hexagon b. find the radius of a hexagon c. find the apothem of a hexagon
  29. math

    the area of a regular hexagon is given as 384√3 a. how long is each side of a hexagon b. find the radius of a hexagon c. find the apothem of a hexagon
  30. Math

    1 the mystery shape has at least 2 lines of symmetry 2 at least 1 of its diagonals is also a line of symmetry 3 it has has at least 1 obtuse angle 4 at least 3 of its angles are congruent 5 its total angle measure is between 100 degrees and 1,000 degrees
  31. Algebra 2

    Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides of the triangle are
  32. Math

    A square with sides x + 2 and an equilateral triangle of sides with 2x have equal perimeters x = what?
  33. Geometry

    ABCDEF is a regular hexagon with side length 43√4. Points G,H,I,J,K,L are chosen uniformly at random, one from each side of the hexagon. What is the expected area of hexagon GHIJKL?
  34. Math

    ABCDEF is a regular hexagon with side length 4 (Under 4 root)√3. Points G,H,I,J,K,L are chosen uniformly at random, one from each side of the hexagon. What is the expected area of hexagon GHIJKL?
  35. Math

    ABCDEF is a regular hexagon with side length 4 (Under 4 root)√3. Points G,H,I,J,K,L are chosen uniformly at random, one from each side of the hexagon. What is the expected area of hexagon GHIJKL?
  36. geometry

    The area of a particular regular hexagon is x^3 square units, where x is the measure of the distance from the center of the hexagon to the midpoint of a side. what is the side length of a hexagon?
  37. Geometry

    Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer. Question 1: A regular pentagon has an apothem of 3.2 m and
  38. bnhs

    a regular triangle and a regular hexagon have the same perimeter length.If the length of a side of hexagon is 20cm,how long is each side of the triangle?
  39. Math

    A regular hexagon has six sides of equal length. If each side of a hexagon is 25mm, what is the perimeter?
  40. maths

    1.how many non congruent right triangles with positive integer leg lengths have areas that are numerically equal to 3 times their perimeters? 2.a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the
  41. Math

    Which of the following is a regular polygon. 1. rectangle 2. circle 3. equilateral triangle 4. trapezoid I want to say it " equilateral triangle"
  42. geometry

    Hexagon D and hexagon H are regular hexagons. The scale factor from hexagon D to hexagon H is 0.25. One side of hexagon D measures 18 cm. What is the length of one side of hexagon H?
  43. geometry

    in order to find the area of a regular hexagon using the formula Area=1/2(nxs)(a)you must frist find the apothem whie vertical leg of a 30-60-90 triangle with the base of 3. Find the length of the apothem in the 30-60-90 triangle
  44. singh

    a circle inscribed in regular hexagon with each side of regular hexagon √3 cm find area of circle
  45. geometry

    A regular hexagon has an area of 96sqrt3. What is the length of each side of the hexagon?
  46. Calculus

    Consider a regular tetrahedron whose face is an equilateral triangle of side 7. Find the area of the horizontal cross section A at the level z=3. A= ? Find the volume of the tetrahedron. Consider a regular tetrahedron whose face is an equilateral triangle
  47. mathematics

    The base of a pyramid is a regular hexagon consisting of six equilateral triangles with side of 30cm .Calculate the area of the base of the pyramid?
  48. math

    Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch side. A = sq. in.
  49. math

    Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.
  50. math

    A regular hexagon has sides of 5 feet. What is the area of the hexagon
  51. Solid Mensuration

    The area of a regular hexagon inscribed in a circle is equal to 166.28 square cm. If the circle is inscribed in a square, find the difference between the area of the square and the hexagon.
  52. math

    A regular hexagon is inscribed inside a circle. The circle has a radius of 12 units. A: What is the approximate measure of the apothem of the hexagon? B: What is the approximate area of the hexagon? Can someone help me?
  53. Math

    If all of the following triangles have the same perimeter, which has the greater area? a) a right triangle with legs of equal lengths b) an equilateral triangle, c) An obtuse triangle d) a triangle whose sides are all different lengths e)an isosceles
  54. geometry

    f equilateral triangle JKL is cut by three lines as shown above to form four equilateral triangles of equal area, what is the length of a side of one of the smaller triangles?
  55. Math

    The following regular hexagon A ____________B / \ / \ / \ F\ /C \ / E\____________/D has two diagonals going through it, FD and CE. These two lines form 3 triangles. We know that the area of the hexagon is 1. What is the area of those 3 triangles?
  56. geometry

    A regular hexagon has perimeter 60 in. What is the hexagon's area?
  57. geometry

    Hexagon A is a regular hexagon. The total length of all the sides of the hexagon is 24 inches. Hexagon A is dilated about its center to create Hexagon B. The length of each side of Hexagon B is inches. By what factor was Hexagon A dilated to create Hexagon
  58. Math/Geometry

    Can you help me with this? Find the area of each regular polygon. Round to the nearest tenth. 1. an equilateral triangle with an apothem 8.9 inches long
  59. problem solving

    What is the area of a regular hexagon with P = 100? What is the area of a regular octagon with P = 100? What is the area of a regular n-gon with P = 100? Make a table for n = 3 to 25. Make a graph. What happens to 1/n(tan 180/n) as n increases?
  60. Math

    A square has an area of 27 square units. If the perimeter of the square is equal to the perimeter of an equilateral triangle, find the area of the equilateral triangle.
  61. math

    A regular hexagon with sides of 3" is inscribed in a circle. Find the area of a segment formed by a side of the hexagon and the circle
  62. Math--Area

    Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number of sides Perimeter=10*8=80
  63. Geometry

    A regular hexagon with sides of 3" is inscribed in a circle. What is the area of a segment formed by a side of the hexagon and the circle?
  64. math

    the area of an equilateral triangle is given by the expression s^2 x square root of 3/4, where s is the side length of the triangle. what is the area of the triangle? round to the nearest tenth the triangle is 5 cm on all three sides.
  65. math

    each side of equilateral triangle is 5 cm shorter than the side of square. the sum of the perimeters of the two figures is 251 cm. how long is each side of the triangle? solution pls.
  66. mathematics

    A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 5 inches long, and the height of the equilateral triangle is 4.3 inches. The pyramid's slant height is 5 inches. What is its surface area?
  67. mathematics

    A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 12 inches long, and the height of the equilateral triangle is 10.4 inches. The pyramid's slant height is 8 inches. What is its surface area?
  68. Solid Geometry

    Find the Lateral area in cm square of the following right pryramid. 1. Base is regular octagon of side 20cm and altitude of 20cm. 2. Base is regular hexagon of side 20cm and altitude of 30cm. 3. Base is regular hexagon of side 30cm and slant height of
  69. MATH

    THE RATIO OF THE PERIMETERS OF TWO SIMILAR TRIANGLES IS 1:3. htE AREA OF THE LARGER TRIANGLE IS 27FT^2. WHAT IS THE AREA OF THE SMALLER TRIANGLE. SORRY FOR THE CAPITAL LOCK. MY COMPUTER KEPBOARD WILL NOT PUT IT TO LOWER CASE SORRY AGAIN.
  70. Math

    A rectangular solid has a base area of 43.3 sq inches and a height of 50 inches a triangular prism has a base in the shape of an equilateral triangle and a height of 50 inches. the volumes for both shapes are equal. find the side of the equilateral
  71. Algebra

    The sides of a square are one-third as long as the sides of an equilateral triangle. The difference between their perimeters is 20 centimeters. How long is each side of the triangle? Define your variables. Thx
  72. geometry

    a regular hexagon is inscribed in a circle. The radius of the circle is 18 units. What is the area of the region bounded by the inside of the circle and the outside of the hexagon. Round your answer to the nearest hundredth.
  73. Geometry

    Two sides of similar regular polygons are in the ratio of 5 : 4. The sum of their perimeters is 20. Find the perimeters of each polygon
  74. mathematics

    an equilateral triangle has a equal perimeter of a rectangle whose length is 12 meter and whose width is 8.7 meter fined the measurement of the side of the equilateral triangle.
  75. Math

    Which triangle is not possible to construct? A a right isosceles triangle B an acute equilateral triangle C an obtuse scalene triangle D a right equilateral triangle This is the second time ive posted but the last thread got confusing
  76. math

    Determine whether the following argument is correct. If it's not correct, explain what is wrong with ther argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. Triangle ABC doesn't
  77. Math

    Which triangle is not possible to construct? A a right isosceles triangle B an acute equilateral triangle C an obtuse scalene triangle D a right equilateral triangle I have no idea what the answer is, pls help me
  78. math

    Determine whether the following argument is correct. If it’s not correct, explain what is wrong with the argument and change the minor premise to make a correct argument. If a triangle is equilateral, then it has three equal sides. Triangle ABC doesn’t
  79. math

    the side of an equilateral triangle measures 5 cm more than the side of a square. if both their perimeters are the same, what are their sides?
  80. Geo

    (SAT Prep) The diagonals BF and CE divide the hexagon ABCDEF into two equilateral triangles and a square. Find the perimeter of the hexagon if BF = 3 cm.
  81. math

    The perimeter of a square piece of land is twice the perimeter of an equilateral triangle. (an equilateral triangle has three equal sides.) If one side of the square is 45 feet, find the length of the sides of the triangle. 2x + 3 = 45 2 x + 3 -3 = 45 + 2x
  82. math

    I need 2 know how 2 find the measure of a regular haxagon!! HELP ME PLEASE!! This site explains how to find the area of a regular hexagon. http://www.mathreference.com/geo,hex.html
  83. Geometry

    Two similar triangles have perimeters of 60 and 36 inches. Find the area of the smaller triangle if the corresponding area of the larger triangle is 100 sq. inches. a. 90 sq. in. b. 48 sq. in. c. 36 sq. in. d. 60 sq. in.
  84. Geometry

    (1) Construct a regular hexagon 55mm across the flat. Within it inscribe the largest possible isoscelence triangle having it base 40mm long across the flat. (2) Construct a regular octagon within the following direct 45mm across the flat, 50mm across the
  85. isosceles triangle

    An isosceles triangle is a triangle that has two equal sides. Find AB, BC and AC. Determine if the triangle is isoseles or not based on the lengths of the three sides. can someone show me how to solve?please The triangle is isosceles if AB = BC, or BC =
  86. math

    A regular hexagon with a perimeter of 24 meters is dilated by a scale factor of 5/2 to create a new hexagon. What is the perimeter of the new hexagon?
  87. Math

    A regular hexagon with a perimeter of 24 meters is dilated by a scale factor of 5 2 to create a new hexagon. What is the perimeter of the new hexagon?
  88. geometry!!!! PLEASE HELP!!!!

    A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or
  89. statistics

    What is your conclusion based on the following data? A survey was conducted to study the effects of weight loss from a low fat diet. Two random samples of 100 people each were selected. One group was put on the low fat diet and the other group on the
  90. Math

    A point P is uniformly chosen inside a regular hexagon of side length 3. For each side of the hexagon a line is drawn from P to the point on that side which is closest to P. The probability that the sum of the lengths of these segments is less than or
  91. math

    An equilateral triangle and a square both have perimeters of 48 inches. What is the ratio of the length of the side of the triangle to the length of the side of the square? Express your answer as a common fraction.
  92. Adv. Geometry

    5. Find the area of the regular hexagon.
  93. Maths

    A square has an area of S^2 and a regular hexagon has a perimeter of T. If p is the perimeter of the square and h is a side of the hexagon, then find h+p in terms of S and T.
  94. Math geometry

    1) The base angles of an isosceles triangle are (50-x)^6 and (30x-12)^6 what is the vertex angle? 2) The area of a trapezoid is 52cm^2 if it's bases are 8 cm apart find the sum of their heights 3) What is the area of a circle inscribed inside an
  95. math

    what is the area of a regular hexagon inscribed in a circle with area of 9?
  96. Math

    what is the area of a regular hexagon inscribed in a circle with area of 9?
  97. Algebra

    The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle has all sides equal)
  98. Math

    What is the perimeter of a regular hexagon with an area of 294�ã3 ?
  99. maths urgent

    Plz help me solve these sums i will be great full 1.How many non congruent right triangles with positive integer leg lengths have areas that are numerically equal to 3 times their perimeters 2.A triangle with side lengths in the ratio 3:4:5 is inscribed in
  100. Math

    A pentagon is formed by putting together three identical equilateral triangles and one larger equilateral triangle with length of edge equal to 2 times that of the smaller equilateral triangle. If the perimeter of the smaller triangle is 42 cm, what is the

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