For a trapezoid, the following formula relates the area a, the two bases a and b, and the height h. a=1/2h (a b) solve for h. h = 2 (a b) / a h = 2a/a b h = a/2 (a b) h = a b/2a

Question

Mathematics

Buckley

29 May, 22:54

For a trapezoid, the following formula relates the area a, the two bases a and b, and the height h. a=1/2h (a b) solve for h. h = 2 (a b) / a h = 2a/a b h = a/2 (a b) h = a b/2a

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Answers (1)

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Bryan Powell · Answer 1

The area of a trapezoid is calculated by the expression given as:

A = 1/2h (a + b)

To solve for h, we need to transfer terms to the one side leaving h only to the other side. It is done as follows:

(A = 1/2h (a + b)) 2

(2A = h (a + b)) 1 / (a+b)

2A / (a+b) = h

Therefore, the correct answer from the choices listed above is the second option, h = 2A / (a+b).