# An isosceles right triangle has a hypotenuse of 8 units. What is the length, in units, of one the legs?

106,102 results

1. ### geometry

An isosceles right triangle has a hypotenuse of 8 units. What is the length, in units, of one the legs? Round your answer to the nearest hundredth if necessary.
2. ### Math

1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. 2) The length of a rectangle is 9 m longer ...
3. ### Algebra

What is the length of the hypotenuse of a right triangle with legs of 5 and 12 units? What is the "hypotenuse" and "legs" of a triangle? Thanks!
4. ### Math

The two legs of a right triangle are in the ratio √3/2. If the hypotenuse is 10 units long, find the area (in square units) of the triangle.
5. ### algebra 1

Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
6. ### algebra

Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.
7. ### math

The legs of a right triangle are 3 and 4 units long. Find the lengths, to the nearest tenth, of the segments into which the bisector of the right angle divides the hypotenuse. (Hint: Draw a picture of the triangle, label one segment of the hypotenuse "x," and solve. Then, move...
8. ### Math (Geometry)

The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest possible length for one of the sides of ...
9. ### Math

The two legs of a right triangle are in the ratio √3/2. If the hypotenuse is 10 units long, find the area (in square units) of the triangle. Please provide COMPLETE solution and FINAL ANSWER.
10. ### Math

If the hypotenuse of a right triangle is 13 and one of its legs is 5, find the area fo the triangle. Answer Choices 20 40 45 30 25 I know a hypotenuse the side of a right triangle opposite the right angle. You can't multiply the hypotenuse with one of the legs.
11. ### geometry

The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest possible length for one of the sides of ...
12. ### Geometry

In right triangle ABC, the median to the hypotenuse has length 15 units and the altitude to the hypotenuse has length 12 units. What is the legth of the shorter leg of triangle ABC?
13. ### Calculus

In a right triangle, the hypotenuse is of fixed length of 15 units, one side is increasing in length by 4 units per second while the third side is decreasing in size. At a certain instant the increasing side is of length 9 units. Find the rate of change of the third side at ...
14. ### algebra

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.
15. ### math last question asap ples :P

Which of the images above represents a proof of the Pthagorean Theorem? Explain your choice, and them explain how the figure proves the Phythagoream Theorem. Figure A The hypotenuse of the right triangle is 64 units^2 One leg is 36 units^2 The bottom leg is 9 units^2 Figure B ...
16. ### Math

The legs of an isosceles triangle measures 2x^4+2x-1 units. The perimeter of the triangle is 5x^4-2x^3+x-3 units. Write a polynomial that represents the measure of the base of the triangle.
17. ### Math

The legs of an isosceles triangle measures 2x^4+2x-1 units. The perimeter of the triangle is 5x^4-2x^3+x-3 units. Write a polynomial that represents the measure of the base of the triangle.
18. ### geometry

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long?
19. ### geometry

In a right triangle, one side is 9 units in length, and the hypotenuse is 15 units in length. What is the length of the other side?
20. ### geometry

The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a long leg of 96 units, short leg of 28 units, and the hypotenuse is labeled 6 x plus 28. the smaller triangle has a long leg of 24 units, short ...
21. ### Math Help

Which of the images above represents a proof of the Pthagorean Theorem? Explain your choice, and them explain how the figure proves the Phythagoream Theorem. Figure A The hypotenuse of the right triangle is 64 units^2 One leg is 36 units^2 The bottom leg is 9 units^2 Figure B ...
22. ### Math HELP!

Which of the images above represents a proof of the Pthagorean Theorem? Explain your choice, and them explain how the figure proves the Phythagoream Theorem. Figure A The hypotenuse of the right triangle is 64 units^2 One leg is 36 units^2 The bottom leg is 9 units^2 Figure B ...
23. ### math 7th

a right triangular prism has a length of 11 units.Its right triangle face has legs of 3 and 4 and a hypotenuse of 5. what is the surface area of the right triangular prism.
24. ### Math

The side lengths of a right triangle are each an integral number of units. If one of the legs is 13 units, what is the perimeter of the triangle? Thanks ~Zach
25. ### math/geometry

complete the statements: To find the length of the hypotenuse of a 45-45-90 triangle, multiply the length of one of the legs by:? Could the answer be .5??? to find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by:? To find the ...
26. ### Math Help

Which of the images above represents a proof of the Pthagorean Theorem? Explain your choice, and them explain how the figure proves the Phythagoream Theorem. Figure A The hypotenuse of the right triangle is 64 units^2 One leg is 36 units^2 The bottom leg is 9 units^2 Figure B ...
27. ### math

I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. If I don't get an A, I may not get to graduate. I really appreciate you taking your time to double check theses for me. Thanks if you do. I know its a lot. They are all ...
28. ### Geometry

The volume of a prism which has an altitude of 10 units and has a right triangle base with a hypotenuse of 13 units and a leg of 12 units is what?
29. ### math

5. Find the length of the hypotenuse of a right triangle with legs of 20 cm and 21 cm. 41 cm 841 cm 6 cm 29 cm 6. The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg. 6 cm 12 cm 17 cm 144 cm 7. If the sail ...
30. ### MATH MS.SUE HELP PLEASE!

Could somebody help me I don't understand any of this. Could someone show me or tell me how to work the problems? 1. Find the length of the hypotenuse of a right triangle with the legs of 9cm and 12cm A.8 B.21 C.15 D.225 2.The length of a hypotenuse of a right triangle is 13cm...
31. ### geometry

the legs of the isosceles triangle each measure 14in.find the length of the hypotenuse
32. ### Math

How do I use pythagorean theorem if I already know what c is, but I am missing one of the legs? If you know the length of one of the legs, a (besides the hypotenuse, c), then use b^2 = c^2 - a^2 and solve for the unknown leg length, b. This only works IF it is a right triangle.
33. ### help with math

Which would represent proof of the Pythagorean Theorem? A. Right triangle with legs of 36 and 9, as well as the hypotenuse as 64. B. Right triangle with legs of 144 and 25, as well as the hypotenuse as 169. Is it B? I don't know...
34. ### trig

The hypotenuse of a right triangle has length 8. The area of the triangle is also 8 units squared. What is the perimeter of the triangle?
35. ### Math

Use the congruent triangles shown to answer question 6 and 7. 6. A. B. C. D. 7. Side BC is congruent to which side? A. ZX B. YX C. XY D. YZ 8. in the image below, ABC ~ DEF What is the length of EF and the measure of A. 27; 41 B. 27; 49 C. 36; 41 D.45; 49 9. What is the ...
36. ### Algebra

The legs of an isosceles triangle are 0.3 foot less than twice the base. The perimeter of the triangle is 4.9 feet. What is the length of one of the triangle’s legs?
37. ### Math PLZZ

1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45* 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4* 10.6 3. Which set represents a Pythagorean triple? 2...

1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45 ** 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4 10.6 ** 3. Which set represents a Pythagorean ...
39. ### math

the length of the hypotenuse of a right triangle is 15 ft. the length of one legs is 9 ft. find the length of the other leg. a) 6 ft b) 21 ft c) 12 ft d) 18 ft
40. ### Geometry

ABC is isosceles with AB = AC = 8 units and BC = 6 units. D and E are the midpoints of and respectively. What is the length of ? 3 units 4 units 6 units 8 units
41. ### Math

In a diagram of an 2 isosceles triangles, where ABC is a big triangle and a ADE, is just inside the top portion of ABC. Isosceles triangle ABC is similar to a isosceles triangle ADE what is the length of DE, which is the base part of a isosceles triangle ADE ? Do you just take...
42. ### geometry

a right triangle has legs of length 3x and 4x and hypotenuse of length 75. What are the lengths of the legs of the triangle.
43. ### geometry

I realy need help please!!!! 1-Describe the translation in words: (x, y) (x - 4, y - 9) A)4 units to the left, 9 units down B)4 units to the left, 9 units up C)4 units to the right, 9 units down D)4 units to the right, 9 units up 2-][3-,2.[1,4],[-5,4]2,-3]at element is in row ...
44. ### math

1. Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm A. 8 cm B. 21 cm C. 15 cm D. 225 cm the length of the hypotenuse of a right triangle with legs of 13 cm the length of one leg is 5 cm find the length of the other leg A. 14 cm B. 144 cm C. 8 ...
45. ### geometry

In right triangle ABC, M and N are midpoints of legs AB and BC, respectively. Leg AB is 6 units long, and leg BC is 8 units long. How many square units are in the area of triangle APC?
46. ### Math

Can someone please check to see if I answered these true and false statements correctly? Thank you! 1. A triangle can have two right angles. (TRUE??) 2. An equilateral triangle is also an acute. (TRUE??) 3. A right triangle can also be an isosceles. (TRUE??) 4. A scalene ...
47. ### math

The length of the hypotenuse of a right triangle is 40 cm. The legs of the triangle are the same length. How long is each leg of the triangle?
48. ### corollary to isosceles triangle theorem

how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up to 180 degrees, right? 3 x 60 = 180 2) ?? 2. ...
49. ### Geometry

One of corner risers is shown at the right. Find the length of the shortest side of this riser. A right triangle with legs x and x+2. With a hypotenuse of x+4.
50. ### Pre-Alegrebra

1)Find the length of the hypotenuse of a right triangle with legs of 9cm and 12cm 8 cm 21 cm 15 cm**** 225 cm 2)The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg. (1 point) 14 cm 144 cm 8 cm 12 cm*** 4....
51. ### math-geometry

The length of the hypotenuse of a right triangle equals the length of one of the legs of the triangle. a.) Always true b.) Sometimes true c.) Never true I for A for the answer is that correct?
52. ### math

The length of the hypotenuse of a right triangle is ã2 times the length of one of the legs of the triangle. answer choice: a.Always true b. sometimes true c. never true
53. ### math

Can someone please help me with the following problems Determine if the triple numbers are can be sides of a right triangle? sqrt(10)sqrt(13)sqrt(23) The length of thy hypotenuse of a right triangle equals the length of one of legs of the triangle A) always true B) sometimes ...
54. ### math right triangle

the hypotenuse of a right triangle is 1 inch longer than one leg and 8 inches longer than the other. Find the length of each side of the triangle. Let l1, l2 be the legs. l1^2 + l2^2 = h^2 but h= l1+1 and h= l2 + 8 solve these for l1, l2, put them in the first equation and ...
55. ### Math

Natalia constructed a right triangle with two side lengths measuring 3 and 5 units. She constructed a second right triangle similar to the first one, with the two corresponding sides measuring 5.1 and x units in length, respectively. What is the missing length, x, of the ...
56. ### Geometry

How would one solve similar right triangles if the first triangle has y and x as legs and a (altitude) as hypotenuse, and the second triangle has one leg of 50, the other is a, and the hypotenuse is 100. I solved for a, and it came out to be 86.6? Is this correct? How do I ...
57. ### geometry

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?
58. ### Maths

1.A projectile's height (in metres) is given by the expression t(14-t), where time t is in seconds. How long is the projectile above a height of 40m? 2. The area of a right-angled triangle is 60 square units and the lengths of the two shorter sides differ by 7 units. Find the ...

What is the length of a diagonal of a square with sides 16 ft long? Round to the nearest tenth. & The length of the hypotenuse of an usosceles right traingle is 30 meters. Find the area of the triangle. Round to the nearest tenth, if necessary. Any help? The diagonal forms two...
60. ### Trigonometry

The hypotenuse of a right triangle is 34cm. find the length of the two legs, if one leg is 14cm longer than the other.
61. ### Physics

The hypotenuse of a right triangle is 29.0 centimeters. The length of one of its legs is 20.0 centimeters. What is the length of the other leg?
62. ### Geometry

The length of a hypotenuse of a right triangle is 29 feet. The Altitude drawn perpendicular to the hypotenuse is 10 feet. What are the lengths of the two legs?
63. ### Math

If the legs of a right triangle are 8 and 10 what is the length of the hypotenuse?
64. ### algebra!HELP!

a right triangle has legs 12 ft. and 5 ft. what is the length of the hypotenuse?
65. ### Math

Please help me with the following by checking my answer. The length of the hypotenuse of an isosceles right triangle is √6 inches. How long, in inches, are the legs of the triangle? A. 3 B. 6 C. √3 - (This is my answer.) D. √6 I am not sure on my answer, ...
66. ### geometry

an isosceles trapesiod has legs that measure 24 units each. If the perimeter of the trapeziod is 150 units, what is the legth of its median?.
67. ### math

Which of the images above represent a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem. Figure A: Leg a= 9 units (length) Leg b= 36 units (bottom) Leg c= 64 units (diagonal length) Figure B: Leg a= 25 units (...
68. ### Math

In a right triangle, find the length of the side not given. Approx to the three decimal places. a and b are the length of the legs and c is the length of the hypotenuse. b = 4"sqrt"2 and c = 9
69. ### Pythagoras therem

the two legs of a right angled triangle are equal in length and the square of the length of its hypotenuse is 72cm find the length of each leg.
70. ### algebra

What is the length of the hypotenuse of a right triangle if the two legs are 21 and 20?
71. ### algebra

a and b are both the lengths of the legs of a right triangle, c is the length of the hypotenuse. Find the missing length if b=24 and c=25. I don't know how to do this.
72. ### MATH

1.The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs. A) 4 cm B) 5 cm C) 11 cm D) 12 cm answers 4x-8= 4(5)-8= 20-8= 12 2.3x - 2y = 6 answer X=4 and Y...
73. ### Math

Two isosceles triangles have perimeters of 8 and 15 centimeters, respectively. They have the same base length, but the legs (the non base sides) of the larger triangle are twice as long as the legs of the smaller triangle. For each triangle, what is the length of a leg?
74. ### Calculus

A right triangle with hypotenuse y and equal legs of size x has a perimeter of 36m. Express the area of the triangle solely in terms of the hypotenuse y.

The lengths of 2 legs of a right triangle are 16 cm and 30 cm. What is the length of the hypotenuse?
76. ### Math

If a right triangle has legs of 9in. and 12in. What is the length of the hypotenuse?
77. ### Math

If a right triangle has legs of 9in. and 12in. What is the length of the hypotenuse?
78. ### bunn high

the length of a right triangle. find the hypotenuse if a=5 b=14 (legs)
79. ### math

Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm. a) 8 cm b) 21 cm c) 15 cm d) 225 cm
80. ### Math HELP!

The legs of a right triangle measure 6 in. and 8 in. What is the length of the hypotenuse? A. 10 in. B. 5.39 in. C. 14 in. D. 8 in. Is the answer A? Thanks
81. ### Math HELP!

Find the length of the hypotenuse of a right triangle with legs of 12 ft and 16 ft. A. 11 ft B. 18 ft C. 20 ft D. 28 ft Is the answer C? Thank you
82. ### Geometry

One leg of an isosceles right triangle is 14cm long. Find the length of the hypotenuse. C^2=a^2+b^2 C^2=14^2+14^2 392=14^2+14^2? What do I write? Because 14 square root 2 doesn't make sense.
83. ### math

the lengths of two legs of a right triangle depend on time. One, whose length is x increase at the rate of 5 feet per second, while the other, of length y, decreases at the rate of 6 feet per second. At what rate is the hypotenuse changing when x=3 and y=4? is the hypotenuse ...
84. ### MATH

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?
85. ### MATH

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?
86. ### intermediate algebra

A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
87. ### intermediate algebra

A right triangle has two legs and a hypotenuse. One leg of the triangle is 3 feet longer than the other leg. The hypotenuse is 15 feet. Find the length of each leg. I got 12 feet and the other leg is 9 feet Is this correct?
88. ### math

The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 C b2 D c2
89. ### maths

the square of the hypotenuse of an isosceles right angled triangle is 98 sq. cm. what is the length of each side ?
90. ### geometry

The medians of the legs of a right triangle are 3 square root 6 and 6. What is the length of the hypotenuse?
91. ### Math

The legs of a right triangle measure 17 and 26. Find the length of the hypotenuse. Please help
92. ### Math Help!

If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? A. 1.4 B. 3.8 C. 5.4 D. 10.8 Is the answer D? Thanks
93. ### Math help!

Find the length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm. A. 8 cm B. 21 cm C. 15 cm D. 225 cm Is the answer C? Thank you
94. ### Math

Area of isosceles right angled triangle is 12.5cm .then find length of its hypotenuse .
95. ### Algebra

How do I solve: One leg of a right triangle is 4 m longer than the other. If the length of the hypotenuse is 18 m, how long are the other two legs?
96. ### Geometry

What is the length of the hypotenuse of a right triangle with legs of lengths 9 in. and 40. A. 41 B. 49 C. 840.5 D. 1,681 I believe it is A, because 9^2 is 81 and 40^2 is 1681 and when you find the perfect square of that it's 41. Am I right?

which of the following would translate a segment 5 units to the left and 8 units up? a)-5 -5 and 8 8, b) -2 -4, c) -5 8 and d) -5 8, -2 -4 which of the following translations corresponds to the matrix { 2 2 2} { -3 -3 -3} a) a segment is shifted 2 units up, 3 units left b) a ...
98. ### maths

The two legs of a right triangle are equal and the square of its hypotenuse is 50 .find the length of each leg
99. ### MATH

Use the converse of the Pythagorean theorem to determine which of the following are side lengths of a right triangle. A. 2.1, 2.8, and 3.5 units B. 2.3, 2.8, and 3.6 units C. 2.2, 2.9, and 3.6 units D. 2.2, 2.7, and 3.5 units C?
100. ### algebra

The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base?