Verified Answer :

taskmasters

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).

JeanaShupp

Answer: \(h=\dfrac{2A}{a+b}\)

Step-by-step explanation:

The area of a trapezoid is given by :-

\(A=\dfrac{1}{2}h(a+b)\), where a and b are the two bases, and h is the height .

To solve the above formula for h , we first multiply 2 on both sides , we get

\(2A=h(a+b)\)

Now, dividing (a+b) on both the sides, we get

\(h=\dfrac{2A}{a+b}\)

Hence, the formula to find the value of h is given by -

\(h=\dfrac{2A}{a+b}\)

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