Question

A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is 24 inches.

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.

Answer 1

The length of one leg of the right triangle is h = 12√2 inches

How to find the length of the leg of a right triangle?

The length of a right triangle can be found as follows;

sin 45 = opposite / hypotenuse

Therefore,

hypotenuse = 24 inches

Hence,

sin 45 = h / 24

h = 24 sin 45

h = 24 × 1 / √2

Therefore,

h = 24 / √2 × √2 / √2

h = 24√2 / 2

h = 12√2 inches

learn more on right triangle here: brainly.com/question/26197425

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