Find the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10. Leave your answer in simplest radical form.
(1 point)
Responses
2square root of fortyone
2 Image with alt text: square root of fortyone
164
164
6
6
2
The missing leg can be found using the Pythagorean theorem, which states that the sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
Let the missing leg be represented by the variable x. We know that one leg has a length of 8 and the hypotenuse has a length of 10. Therefore, we have:
8^2 + x^2 = 10^2
64 + x^2 = 100
x^2 = 100 - 64
x^2 = 36
Taking the square root of both sides, we get:
x = √(36)
Simplifying, we have:
x = 6
Therefore, the length of the missing leg is 6.