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How To Find the Area of a Right Triangle the Easy Way

how to find the area of a right triangle: Image of a right triangle with 90° angle

Unlike finding the area of a rectangle or an acute or obtuse triangle, figuring out how to find the area of a right triangle is simple. It's one of the easiest trigonometric functions, since you do not have to use sine, cosine, or the Pythagorean theorem.

First, let's break down the different sides of a right triangle. A right triangle has three sides: a base, height, and hypotenuse. The hypotenuse is the longest side of the triangle and is always the opposite side to the 90° angle. However, you don’t need to know the length of the hypotenuse to find the area of any triangle with a right angle.

To find the area of the triangle, you must multiply the hypotenuse’s two adjacent sides: the base and the height. Once the length of the base and height have been multiplied, divide them in half. Now, you’ve solved the formula for the area of a right triangle. Here it is as an equation:

how to find the area of a right triangle: Formula for the area of a right triangle

How To Find the Area of a Right Triangle With One Formula

how to find the area of a right triangle: Image of a right triangle with base and height

See the above right-angled triangle ABC. The side lengths of this right-angle triangle are known, so we can plug them into our equation:

how to find the area of a right triangle: Formula for the area of a right triangle

Example of a formula for the area of a right triangle

Example of a formula for the area of a right triangle

Example of a formula for the area of a right triangle

Keep in mind that this formula only applies to right triangles. Additionally, you need to know the base and height for it to work.

Knowing Right Triangle Area Creates More Possibilities

Though simple, knowing how to find the area of a right triangle is extremely useful. When you know how to do it, you can build upon that knowledge to find the area of a non-right triangle and the area of a parallelogram.

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