# How to find the height of a trapezoid?

#### Understand the Problem

The question is asking for a method to calculate the height of a trapezoid, which involves understanding the properties of trapezoids and possibly using formulas related to their dimensions.

$h = \frac{2A}{a+b}$

To find the height of a trapezoid, use the formula $h = \frac{2A}{a+b}$

#### Steps to Solve

1. Identify the known values

We need to know the lengths of the two parallel sides (bases) of the trapezoid, let's call them $a$ and $b$, and the area $A$ of the trapezoid.

1. Use the area formula of a trapezoid

The formula for the area of a trapezoid is given by: $$A = \frac{1}{2} (a+b)h$$

1. Rearrange the formula to solve for height

To find the height ($h$), solve the formula for $h$: $$h = \frac{2A}{a+b}$$

1. Plug in the values

Substitute the known values of $A$, $a$, and $b$ into the formula to get the height.

1. Calculate the height

Perform the division to find the height $h$.

To find the height of a trapezoid, use the formula $h = \frac{2A}{a+b}$