Question

The leg of a right triangle is 5 units and the hypotenuse is 8 units. What is the length, in units, of the other leg of the triangle?

square root 39 units
39 units
square root 89 units
89 units

Answer 1

A, because of Pythagorean theorem, a^2+b^2=c^2, so 5^2+b^2=8^2, b=root 39

Answer 2

A) Length of leg = √39.

Explanation:

Given : The leg of a right triangle is 5 units and the hypotenuse is 8 units..

To find : What is the length of the other leg of the triangle.

Solution : We have given

Leg of a right triangle = 5 units.

Hypotenuse = 8 units.

By the Pythagorean theorem : (Hypotenuse)² = (One leg )² + (other leg)².

Plug the values

(8)² = (5)² + (other leg)².

64 = 25 + (other leg)².

On subtracting both sides by 25 .

64 - 25 = (other leg)².

39 = (other leg)².

On taking square root and switching the sides.

Length of leg = √39.

Therefore, A) Length of leg = √39.