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