Knowing the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometric problems without resorting to more advanced methods.

Why is it important to learn about special right triangles?

Use of special Right triangles. In the old time, people used special right triangle, with side ratio 3:4:5, to figure out a right angle on the field. They can also find the measures of the 3 sides of a right triangle, knowing the ratio and one of the 3 sides.

What are special triangles called?

There are three types of special right triangles, 30-60-90 triangles, 45-45-90 triangles, and Pythagorean triple triangles.