Question

The hypotenuse of a 45 degree -45 degree -90 degree triangle measures 22 square root of 2 units. What is the length of one leg of the triangle

Answer 1

The Pyhtagorean triple for a 45-45-90 is
`(x,x,x√(2))`

with the last measure being that of the hypotenuse since it is the longest. If the hypotenuse is given as

`22√(2)`

then in equality form we could rewrite as
`22√(2)=x√(2)`. We would divide both sides by the square root of 2 and solve for x, the length of each leg of that triangle. Each leg measures 22.