Answer:
H = 10 inches
Step-by-step explanation:
The fomula for area of a trapezoid is
A = (1/2)(B1 + B2)H
where B1 is a base, B2 is the other base, and H is the height
It reads as "Area is one half the product of the sum of the bases and the height"
Plug in what you are given and solve for H. We are given A, B1, and B2
50 = (1/2)(3 + 7)H
50 = (1/2)(10)H (simplify the parenthesis first)
50 = 5H (simplify the right side)
10 = H (divide by 5 on both sides to isolate H)