what is the special right triangle formula

1 answer

The special right triangle formula is used to find the side lengths of a right triangle that has specific angles of 30, 60, and 90 degrees. The two special right triangles are the 45-45-90 triangle and the 30-60-90 triangle.

For a 45-45-90 right triangle:
The two legs are equal in length (x), and the hypotenuse is equal to √2 times the length of the legs. The formula is:
Legs: x
Hypotenuse: x√2

For a 30-60-90 right triangle:
The two legs have a ratio of 1:√3:2, where the shorter leg is x, the longer leg is √3 times the length of the shorter leg, and the hypotenuse is 2 times the length of the shorter leg. The formula is:
Short leg: x
Long leg: x√3
Hypotenuse: 2x