Special Right Triangles

Isosceles Right Triangle:

The isosceles right triangle is also called the 45-45-90 triangle because of the measures of the angles.

Theorem: The 45-45-90 Triangle:

The hypotenuse of a 45-45-90 triangle is 2^½ times as long as a leg.

Theorem: The 30-60-90 Triangle:

The hypotenuse of a 30-60-90 triangle is twice as long as the short leg and the longer leg is 3^½ times longer than the shorter leg.