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 $(x,x,x\sqrt{2})$

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

$22\sqrt{2}$

then in equality form we could rewrite as $22\sqrt{2}=x\sqrt{2}$. 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.