Question

One leg of a right triangle measures 96 inches. The length of the hypotenuse is twice the other leg. If x represents the length of the other leg, which of the following equations is the Pythagorean Theorem written in general form?

-3x2 - 9216 = 0
4x2 - 9216 = 0
3x2 - 9216 = 0

Answer 1

3x2 - 9216 = 0

Answer 2

let
x-------> the length of the other leg
y------> the length of the hypotenuse

we know that
y=2x----> equation 1

applying the Pythagoras theorem
y²=96²+x²--------> equation 2

substitute equation 1 in equation 2
[2x]²=96²+x²-----> 4x²-x²-96²=0-----> 3x²-9216=0

the answer is
3x2 - 9216 = 0