To rearrange the area formula for a trapezoid, \( A = \frac{1}{2} h (b_1 + b_2) \), to solve for the height \( h \), you can follow these steps:
-
Multiply both sides by 2 to eliminate the fraction: \[ 2A = h(b_1 + b_2) \]
-
Divide both sides by \( (b_1 + b_2) \) to isolate \( h \): \[ h = \frac{2A}{b_1 + b_2} \]
So the rearranged formula for the height \( h \) is: \[ h = \frac{2A}{b_1 + b_2} \]