Solve the trapezoid formula for height.

We can derive the formula of height from the Area formula of a trapezoid.

Area of a Trapezoid = ((a+b) / 2) h

Where a is the length of the upper base, b is the length of the lower base, and h is the height of the trapezoid.

To get the height of the trapezoid : we must divide the Area by (a+b) / 2 to find h ...

For example: a = 10cm; b = 15cm; h = 8cm; A = ?

A = ((a + b) / 2) * h

A = ((10 + 15) / 2) * 8

A = (25/2) * 8

A = 12.5 * 8

A = 100 sq. cm

If A = 100, a = 10, b = 15, h = ?

h = A / (a+b) / 2

h = 100 / (10+15) / 2 * in dividing fractions, find the reciprocal of the 2nd fraction

h = 100 / 25/2

h = 100 * 2/25 * multiply the first fraction to the reciprocal of the 2nd fraction

h = (100 * 2) / 25

h = 200 / 25 * simplify the fraction

h = 8