Question

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 ?

(1 point)
Responses

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

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

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

82+122=y2

Answer 1

To find the length of side \( y \) in a right triangle with one leg measuring 8 inches and the hypotenuse measuring 12 inches, you can use the Pythagorean theorem, which states:

\[
a^2 + b^2 = c^2
\]

where \( a \) and \( b \) are the legs of the triangle and \( c \) is the hypotenuse.

In this case, you have:

- One leg \( a = 8 \) inches
- Hypotenuse \( c = 12 \) inches
- The other leg \( b = y \)

Substituting these values into the theorem gives you:

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

So the correct equation to find the length of side \( y \) is:

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