Question

The hypotenuse of a 45°-45°-90° triangle measures 22^2 units. what is the length of one leg of the triangle?

Answer 1

45° - 45° - 90° => isosceles rigth triangle, the two legs have the same length.

Call a the length of the legs and h the length of the hypotenuse =>

a^2 + a^2 = h^2

=> 2a^2 = h^2

=> a^2 = h^2 / 2

=> a = h / √2 = 22 / √2 = 15.6 units

Answer: 15.6 units