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

A) Length of leg = √39.

Step-by-step 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.

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step-by-step explanation: