# Trapezoid Height Calculator | How to Find Trapezoid Height

## Height

## Trapezoid

## Trapezoid height calculator

Are you struggling to find the height of a trapezoid? Look no further than our Trapezoid Height Calculator! This free tool can help you quickly and easily calculate the height of a trapezoid.

## Trapezoid Height Formulas

To calculate the height of a trapezoid, you can use the following formulas:

### Through sides

The height of trapezoid can be found by its sides, since by drawing diagonal in the trapezoid we get a right triangle, then expressing the sides of the triangles with the sides of the trapezoid we get the formula above.

h = \sqrt{a^2 - \left( \dfrac{(d-b)^2+a^2-c^2}{2(d-b)} \right)^2}

where h is the height of your trapezoid, a and c are the lengths of the sides, and b, d are the lengths of the bases of your trapezoid.

### Through midline and area

The height of trapezoid is equal to its area divided by the middle line.

h = \dfrac{S}{m}

where S is the area of your trapezoid, and m is the midline.

### Through the area and bases

h = 2 * \dfrac{S}{b+d}

## Step-by-Step Process: How to Find Trapezoid Height

- Measure the length of the bottom base (d) and the top base (b) of the trapezoid.
- Measure the sides (a,c) of the trapezoid.
- Use the trapezoid height formula to calculate the height of the trapezoid.
- Enter the values of a, b, c, and d into our Trapezoid Height Calculator to get an instant result.

To make the process even easier, we have created a Trapezoid Height Calculator for you to use. Simply chose the formula that corresponds to your trapezoid, enter the values of a, b, c and d, or area and midline and our calculator will give you the height of the trapezoid in seconds.

With our Trapezoid Height Calculator and step-by-step guide, you can easily find the height of a trapezoid. Whether you are a student, teacher, or professional, our free tool can save you time and effort. Try it out now!

- Area
- Volume
- Perimeter
- Side
- Height
- Diagonal
- Radius
- Median
- Bisector
- Angle
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