**Pythagorean theorem** is one of the most used theorems in right angle triangles. It gives us precise relation between length of sides. The right triangle is a triangle that has right angle.

It says that:

Where c is always length of hypotenuse. That means that point C will always be a vertex of a right triangle.

What does this theorem actually say?

It says that in a right triangle, the sum of areas of squares whose sides are the same length as legs of a right triangle is equal to the area of square whose side is the same length as the hypotenuse.

The right Triangle whose length of sides is equal to 3, 4 and 5 is called the Egyptian triangle.

Let’s forget that we know that the length of hypotenuse is equal to 5 and try to calculate it using Pythagorean theorem.

We have:

Where , and .

If we know lengths of any two sides of a right triangle, we can use this theorem to quickly find third.

Where , and .

## Pythagorean theorem worksheets

Right triangle

**Integers** (181.1 KiB, 242 hits)

**Decimals** (190.9 KiB, 225 hits)

**Radicals** (467.3 KiB, 240 hits)

**Triangle area** (139.6 KiB, 233 hits)

Specials

**Special right triangles** (389.8 KiB, 277 hits)

**Multi-step triangle problems** (175.1 KiB, 237 hits)