Special Right Triangles

Special Right Triangles (SRT)

Right triangles whose angles measure 45, 45, 90 or 30, 60, 90 degrees.

Right Triangle

A triangle that has a 90 degree angle.

Equilateral Triangle

A triangle with three equal sides

Isosceles Right Triangle

45: 45: 90 degrees

30-60-90 Triangle

30: 60: 90 degrees

How to make Special Rt Trigangles

Hypotenuse

the longest side of a right triangle

Pythagorean Theorem

a² + b² = c²

45-45-90 triangle

x, x, x√2

Pythagoren triple

a few examples 3,4,5 or 5,12, 13 or 8, 15, 17

to find hypotenuse in a 45-45-90:

multiply the leg length by radical 2

to find the hypotenuse in a 30-60-90

multiply the shortest leg length by 2

to find the leg length in a 45-45-90

divide the hypotenuse length by radical 2

to find the longer leg length in a 30-60-90 given the short leg

multiply by radical 3

to find the shorter leg length in a 30-60-90 given the longer leg

divide by radical 3