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

Respuesta :

The Pyhtagorean triple for a 45-45-90 is [tex] (x,x,x\sqrt{2}) [/tex]

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

[tex] 22\sqrt{2} [/tex]

then in equality form we could rewrite as [tex] 22\sqrt{2}=x\sqrt{2} [/tex]. 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.