In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 8 in.?
The length of hypotenuse is
The triangle has 2 equal angles, so it is an isosceles triangle. It is also a right triangle, which means that the catheti have the same length. Using the Pythagorean theorem and the above fact we can write that: