Right Triangles

A right triangle is a triangle in which one of the angles is a right angle. The side opposite the right angle is the hypotenuse, and the other two sides are the legs. The length of the hypotenuse is typically denoted with the variable c, while the lengths of the other two sides are denoted with the variables a and b.

The most well-known theorem involving right triangles is the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This theorem can be used to find the length of the hypotenuse given the lengths of the other two sides, or to find the length of one of the other sides given the lengths of the other two sides.

There are a number of other theorems involving right triangles that can be used to solve problems. Some of these theorems include the Law of Sines and the Law of Cosines.