Question

If a right triangle has a hypotenuse of 10 and legs of length 6 and x-3, find the value of x.

(A) 8
(B) 9
(C) 10
(D) 11

Answer 1

To find the value of x in the right triangle, we use the Pythagorean theorem and solve for x. The value of x is 8.

Step-by-step explanation:

To find the value of x in the right triangle with a hypotenuse of 10 and legs of length 6 and x-3, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

So, we have (6)^2 + (x-3)^2 = 10^2. By simplifying the equation and solving for x, we find that x = 8.