One leg of a right triangle is 9 m and the hypotenuse 9√2m. Find the length of the other leg.

Question

One leg of a right triangle is 9 m and the hypotenuse 9√2m. Find the length of the other leg.

The length of the other leg is ____ m.

Answer 1

Hello, Red.

Since the triangle is a right triangle, you can use the pythagorean theorem.

Let x be the length of the unknown side.

Then,

9² + x² = (9√2)²

81 + x² = 81·2 = 162

x² = 162 - 81

x² = 81

Take the square root of both sides.

x = ±9

Since the length cannot be a negative number, x = 9 m

Answer 2

(9√2)² - 9² = x² by Pythagoras