if you have a right triangle with one leg side 8 in, the hypotenuse is 12 in, and the other leg is unknown, y.

what is the equation you would use to find the length of side y ?

You can use the Pythagorean theorem to find the length of the unknown leg y.

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 other two sides. Therefore, the equation you would use to find the length of side y is:

8^2 + y^2 = 12^2

Solving for y, we get:

64 + y^2 = 144
y^2 = 144 - 64
y^2 = 80
y = sqrt(80)
y ≈ 8.94 inches

Therefore, the length of the unknown leg y is approximately 8.94 inches.