Question

One leg of a 45°-45°-90° triangle measures 6 inches. What is the length of the hypotenuse?

Answer 1

`6√(2)`

Explanation:

In a 45-45-90 triangle, the legs are x, and the hypotenuse is
`x√(2)`

Since x, in this case, is 6, the hypotenuse is
`6√(2)`

Hope this helps!

Answer 2

This is a right triangle (hence the 90° angle), so you'd find the legs (both are the same length of a right triangle) by using Pythagoras Theorem (a2 + b2 = c2) Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2. Like I said before the legs are the same length so you can rewrite it as 36 = 2x2, where x = either a or b. Then just solve for x.