Question

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 11 in.?

Answer 1

= 15.556 in

Explanation:

Since this is a 45-45-90 triangle, we can tell that;

• This is a right triangle
• This is an isosceles triangle

One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.

Therefore;

hypotenuse = leg × √2

If we take hypotenuse as x

Since the leg is 11;

Then; x = 11√2

x = 11/√2

x = 15.556 in