Right Trapezoid Calculator

Q: 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).

Q: 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.

Creators

Łucja Zaborowska, MD, PhD candidate

Łucja Zaborowska

MD, PhD candidate

Website

Research Gate

Łucja is a physician and researcher specializing in obstetrics and gynecology. She is currently pursuing a Ph.D. in Medical Sciences at the Jagiellonian University in Cracow, Poland. Her engagement in the subject is extensive, including academics, research, and clinical practice. In addition to her main duties, she also lectures at the university and oversees student research groups. On a personal note, her love for dogs has inspired her to start fostering, giving them a safe place to stay until they find their forever homes. See full profile

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Reviewers

Gabriela Diaz

Gabriela Diaz is a Mechanical Engineer with a blend of industry and academic experience. She has contributed to oil and gas projects in Venezuela and served as a professor of mechanics at Simón Bolívar University. Her professional work includes managing piping materials inventory, designing pressure vessels, and conducting research in thermoeconomic analysis to optimize resource use and minimize waste in oil facilities. Beyond her engineering career, Gabriela has also been involved in her family’s fashion business. In her free time, you might find her training for local running competitions, learning to play the guitar, and exploring new languages. See full profile

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New

The 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 angles; and
Right trapezoid median — available in the 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).

FAQs

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.

Right Trapezoid Calculator

Łucja Zaborowska

Gabriela Diaz

What's the right trapezoid?

How do I calculate the slant of right angle trapezoid?

How to calculate the length of right trapezoid?

Does a trapezoid with one right angle exist?

Angles

Median

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 calculators

Does a trapezoid with one right angle exist?