MATH

In an isosceles trapezoid the length of a diagonal is 25 cm and the length of an altitude is 15 cm. Find the area of the trapezoid.

  1. 👍
  2. 👎
  3. 👁
  1. you need the bases first.

    draw the sketch. label the top base a, the bottom c.
    now notice on c, it is longer than a by 2*k, where k is the length of the base below end triangles.

    Pyth: (c-k)^2=25^2-15^2
    or c-k=20cm
    but c=a+2K

    Now the median length:
    median=(a+c)/2=(c-2k+c)/2
    =2c-2k=2(c-k)=20cm

    area=median*height=20cm*15cm
    =300cm^2

    check my math.

    1. 👍
    2. 👎
  2. You are correct, the answer is 300cm^2

    1. 👍
    2. 👎
  3. You are correct. Thank you.

    1. 👍
    2. 👎
  4. hi

    1. 👍
    2. 👎
  5. Do you think you could attach a labeled diagram? That would be greatly helpful.

    1. 👍
    2. 👎
  6. I did this:

    Pythagreon: (c-k)^2=25^2-15^2
    or c-k=20cm
    but c=a+2K

    Area
    area=median*height=20cm*15cm
    =300cm^2

    1. 👍
    2. 👎
  7. U GUYS ARE SEARCHING UP RUSSIAN MATH FINAL TEST QUESTIONS SHAME ON YOU

    1. 👍
    2. 👎
  8. Hey man I got to get that 100

    1. 👍
    2. 👎
  9. You know he is right

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    In a regular hexagon, what is the ratio of the length of the shortest diagonal to the length of the longest diagonal? Express your answer as a common fraction in the simplest radical form.

  2. pre-calculus

    Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.

  3. Maths

    Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle $ABE$ from $A$

  4. geometry

    The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the

  1. math

    Trapezoid ABCD is formed by A (–7,3) B (–5,6) C (0,6), and D (0,3).Determine the length of the diagonal AC in trapezoid ABCD. Round to the nearest tenth and show all of your work. what do I do?

  2. geometry

    In an isosceles trapezoid, the longest base is 11", a leg is 5", and the height is 4". Find the length of the shorter base of the trapezoid.

  3. geometry

    Given Isosceles trapezoid ABCD. AB = 3x - 4 and CD = x + 12. Find AB. Isosceles trapezoid A B C D is drawn. 2 8 16 20

  4. Geometry

    The measure of the consecutive sides of an isosceles trapezoid are in the ratio 8:5:2:5 the perimeter of the trapezoid is 140 inches if it's height is 20 inches find the area of the trapezoid

  1. fd

    a trapezoid abcd has parallel sides ab and dc of lengths 8 and 22. If both diagonals AC and BD are of length 17, what is the area of the trapezoid

  2. geometry

    If the base of an isosceles triangle has a length of 10, what is the shortest possible integral value for the length of each of the congruent sides?

  3. math

    The formula for the area of a trapezoid is A=1/2h(b1+b2) were h is the height of the trapezoid, and b1 and b2 are the base lengths of the trapezoid. Which formula can be used to find the length of b1?

  4. math

    The cross section of an attic is in the shape of an isosceles trapezoid. If the height of the attic is 9 feet, BC=12 feet, and AD=28 feet, find the length of line AB to the nearest foot. The triangle of the trapezoid is triangle

You can view more similar questions or ask a new question.