Question

The hypotenuse of a 45°-45°-90° triangle measures 22 StartRoot 2 EndRoot units.

A right triangle is shown. The length of the hypotenuse is 22 StartRoot 2 EndRoot 2 units. The lengths of the other 2 sides are congruent.


What is the length of one leg of the triangle?


11 units

11 StartRoot 2 EndRoot units

22 units

22 StartRoot 2 EndRoot units

Answer 1

C

Explanation:

Answer 2

Length of the other leg is 22 units

Explanation:

• Step 1: The length of the other legs can be found using Pythagoras Theorem given hypotenuse = 22√2. Let the sides be x.

Hypotenuse² = x² + x²

(22√2)² = 2x²

⇒ x² = 22 × 22 × 2/2 = 22 × 22

∴ x = 22 units