# Right Trapezoid Calculator

Table of contents

What's the right trapezoid?How do I calculate the slant of right angle trapezoid?How to calculate the length of right trapezoid?Other trapezoid-related calculatorsFAQsThe right trapezoid calculator is indeed the *right* tool for computing all the properties of our favorite trapezoid.

We'll show you what's the difference **between a 'typical' and a right trapezoid**, and teach you **how to calculate the slant of the right angle trapezoid**. Follow the text for more!

## What's the right trapezoid?

A right trapezoid is a trapezoid with ** one of its legs perpendicular to both of the bases**. In other words, it means that such a trapezoid must contain

**two right angles**.

It should be **our favorite type of trapezoids** — it's much easier to calculate! This is because the **height** of the trapezoid is equal to **one of its sides**.

Don't you worry — our right trapezoid calculator is here to help you with all the necessary steps. 👌 We'll calculate:

*Right trapezoid*;**area***Right trapezoid*;**slant side***Right trapezoid*;**height***Right trapezoid*;**perimeter***Right trapezoid*; and**angles***Right trapezoid*— available in the**median**`median`

section of the calculator.

💡 A **rectangle** is also a right trapezoid — it does satisfy the condition described above!

## How do I calculate the slant of right angle trapezoid?

We can easily calculate the slant side of a right angle trapezoid using the Pythagorean theorem:

`d = √[(a − b)² + c ²]`

where:

`d`

— Slant (long) side of a trapezoid;`a`

— Longer base;`b`

— Shorter base; and`c`

— Short side (trapezoid's height).

## How to calculate the length of right trapezoid?

A right trapezoid is indeed special - **its height is equal to the length of its shorter side.** We can calculate it easily using a modification of the Pythagorean theorem:

`b = √[d² − (a − c)²]`

where:

`b`

— Shorter base;`d`

— Slant (long) side of a trapezoid;`a`

— Longer base; and`c`

— Short side (trapezoid's height).

### Does a trapezoid with one right angle exist?

**No, it doesn't.** A trapezoid may have two right angles or none at all.

* Why is that so?* 🤔

Two of the trapezoid bases **must be parallel** to each other. That's why if one of the sides is at **right angle** (*perpendicular*) to one of the bases, it also must be perpendicular to the second one.