Question

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

Answer 1

Answer: $12\sqrt{2}\ in$

Step-by-step explanation:

By definition a 45°, 45° and 90° is known as "Isosceles right triangle". This is an special type of triangle that has two  congruent legs (which means that it has two legs that have equal length).

Then, for this case you need to use the following formula:

$L=\frac{1}{2}H\sqrt{2}$

Where "L" is the length of any leg and "H" is the hypotenuse of the triangles.

In this case you know that:

$H=24\ in$

Then, knowing the value of "H", you can substitute it into the formula and then you must evaluate in order to find the value of "L".

Therefore, you get the following result:

$L=\frac{1}{2}(24\ in)\sqrt{2}\\\\L=12\sqrt{2}\ in$