# Trapezoid Height Calculator

Calculating the height of trapezoid becomes easier when we know the base lengths and area of the typical trapezoid. Here is an example to understand it better.

## Calculating Height of a Trapezoid

**Example:** A trapezoid has a base lengths of 8cm and 12cm. Its area found to be 40cm

^{2}. Find the trapezoid height.

Solution:

Given:

A = 40 cm

^{2}b

_{1} = 8cm

b

_{2} = 12cm

We know the formula to find area of trapezoid (A) = 1/2 (b

_{1} + b

_{2}) h

40 = 1/2 x (8 + 12) x h

40 = 1/2 x (20) x h

40 = 10 x h

40/10 = h

h = 4 cm

Therefore, the height of the given trapezoid is 4 cm.

In the below online trapezoid height calculator, enter the values in the respective input boxes and click calculate to find the output.

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