Question

A=1/2 (b1+b2)h The area, A, of a trapezoid that has a height, h, and bases, b1 and b2, can be found by using the equation above. Which of the following correctly shows the trapezoid's height in terms of its area and 2 bases?

a. h = 2A/b₁+b₂
b. h = A/2(b₁+b₂)
c. h = 2A/b₁-b₂
d. h = A/2(b₁-b₂)

Answer 1

To find the trapezoid's height in terms of its area and bases, use the formula h = 2A/(b1+b2).

Step-by-step explanation:

To find the trapezoid's height in terms of its area and bases, we can rearrange the formula A = 1/2(b1+b2)h to solve for h. Here are the steps:

1. Multiply both sides of the equation by 2 to get rid of the fraction: 2A = (b1+b2)h
2. Divide both sides of the equation by (b1+b2) to isolate h: h = 2A/(b1+b2)

Hence, the correct expression for the trapezoid's height in terms of its area and bases is h = 2A/(b1+b2).