Question

Using the Pythagorean theorem , find the length of a leg of a right triangle if the other leg is 8ft long and the hypotenuse is 10 feet long.

Answer 1

Answer:

A

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the two legs.

let x be the other leg , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

x = $\sqrt{36}$ = 6

The leg is 6 ft