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

Question

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

(1 point)
Responses

(8+y)2=122
open paren 8 plus y close paren squared is equal to 12 squared

(8+12)2=y2
open paren 8 plus 12 close paren squared is equal to y squared

82+122=y2
8 squared plus 12 squared is equal to y squared

82+y2=122

Answer 1

To solve for the unknown leg \( y \) of the right triangle using the Pythagorean theorem, the correct equation is:

\[ 8^2 + y^2 = 12^2 \]

This means that the option that represents this equation is:

82 + y2 = 122

This option correctly applies the Pythagorean theorem, where \( a^2 + b^2 = c^2 \) (with \( a = 8 \) and \( c = 12 \)).