SOLUTION: The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base is 8 cm.

Algebra ->  Triangles -> SOLUTION: The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base is 8 cm.      Log On


   



Question 1131254: The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base is 8 cm.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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The solution is in 2 steps.


1.  Step 1.

    Then the height of the trapezoid is  h = sqrt%2813%5E2-12%5E2%29 = 5 cm.



2.  Step 2.

    The area of the trapezoid is  Area = %28%28a+%2B+b%29%2F2%29%2Ah = %28%288%2B12%29%2F2%29%2A5 = 50 square centimeters.    ANSWER


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base is 8 cm.
50 cm2