Question

if the length of the shorter sides of a 45 degree-45 degree 90 degree triangle is x, find the lenght of the hypotenuse, in terms of x

Answer 1

45-45-90 triangle is isosceles.
The other short side is therefore also x.
Using Pythagoras theorem, we find
hypotenuse²=x²+x²=2x²
Solve for hypotenuse.