Question

Solve A = 1/2(b1 + b2)h for h. Then find the height of a trapezoid with bases of lengths 10 centimeters and 15 centimeters and an area of 75 square centimeters.

Answer 1

height = 6 cm

Explanation:

given

A =
`(1)/(2)` (b₁ + b₂ )h

multiply both sides by 2 to clear the fraction

2A = (b₁ + b₂ )h

isolate h by dividing both sides by b₁ + b₂

`(2A)/(b_(1)+b_(2) )` = h

substitute A = 75 , b₁ = 10 and b₂ = 15 into the formula for h

`(2(75))/(10+15)` = h

`(150)/(25)` = h

6 = h

the height of the trapezoid is 6 cm