Question

What is the length of leg y of the right triangle? (1 point)

A right triangle with hypotenuse 85 and legs 84 and y

1

9

13

26

Answer 1

By applying the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the legs, we can solve for the length of leg y.

Let's denote the length of leg y as z.

According to the Pythagorean theorem, we have:

84^2 + z^2 = 85^2

7056 + z^2 = 7225

z^2 = 7225 - 7056

z^2 = 169

Taking the square root of both sides, we find:

z = ±√169

Since length cannot be negative, we have:

z = √169

z = 13

Therefore, the length of leg y is 13.