๐Ÿ“ Right Triangle Area Calculator

Calculate the area of a right triangle from its two perpendicular legs. The calculator also finds the hypotenuse using the Pythagorean theorem.

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Enter details

Triangle Area
6
Hypotenuse
5
Valid Input
1

Also available in our Android app, with charts and full breakdown tables.

๐Ÿ“˜ About the Right Triangle Area

For a right triangle, the two sides forming the 90 degree angle are the base and height.

The area is half the product of the two perpendicular legs.

The hypotenuse is calculated separately from the Pythagorean theorem.

๐Ÿงฎ Formula

Right triangle area
A = 1/2 ร— a ร— b
Hypotenuse
c = โˆš(aยฒ+bยฒ)

Where

  • A = 1/2 ร— a ร— b
  • c = โˆš(aยฒ+bยฒ)
The two entered legs must meet at the right angle.

โœ๏ธ Worked example

3-4-5 right triangle

You enter
First Perpendicular Leg3 cm
Second Perpendicular Leg4 cm
You get
Triangle Area6
Hypotenuse5
Valid Input1

With legs 3 cm and 4 cm, the area is 6 square centimetres and the hypotenuse is 5 cm.

Try this example โ†’

๐Ÿงญ How to use this calculator

What you enter

  • First Perpendicular Leg (cm)
  • Second Perpendicular Leg (cm)

What you get

  • Triangle Area
  • Hypotenuse
  • Valid Input

๐Ÿ’ก Common use

  • School geometry and Pythagorean theorem exercises.
  • Construction and measurement problems involving a 90 degree corner.
  • Finding the area of a right-angled triangular region when its two legs are known.

โ“ Frequently asked questions

Which sides should I enter?

Enter the two sides that meet at the 90 degree angle.

What is the area formula?

Area equals one half times the first leg times the second leg.

Can the hypotenuse be entered instead?

This calculator is designed for the two perpendicular legs. If you have different information, use the appropriate triangle calculator.

What is a 3-4-5 triangle?

It is a right triangle with legs 3 and 4 and hypotenuse 5.