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?

-3x^2 - 9216 = 0
4x^2 - 9216 = 0
3x^2 - 9216 = 0

Answer 1

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Answer 2

the pythagorean formula is a^2 + b^2 = c^2
a and b are legs and c is the hypotenuse.
let a = 96
let b = x
let c = 2x
by the pythagorean formula, 96^2 + x^2 = (2x)^2 which becomes 96^2 + x^2 = 4x^2

subtract x^2 from both sides of the equation to get 96^2 = 4x^2 - x^2 which becomes 96^2 = 3x^2
take the square root of both sides of the equation to get 96 = x*sqrt(3)
that makes x = 96/sqrt(3).

Answer 3

I already found that same answer on some other website..lol still didn't help.

Answer 4

Is it B? @563blackghost

Answer 5

96/sqrt(3) is 55.42562584 if you input this decimal into the answer equations one will equal 0.....so A is -18432.....B is 3072 .... and C is 0...