SOLUTION: The lengths of the sides of a right triangle are consecutive even integers , and the length of the shortest side is a x . which of the following equations could be used to find
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Question 309593: The lengths of the sides of a right triangle are consecutive even integers , and the length of the shortest side is a x . which of the following equations could be used to find x ?
(A) x + x + 1 = x + 2
(B) x^2 + (x + 1)^2 = (x + 2)^2
(C) x^2 + (x + 2)^2 = (x + 4)^2
(D) x + x + 2 = x + 4
(E) x^2 = (x + 2)(x + 4)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The lengths of the sides of a right triangle are consecutive even integers , and the length of the shortest side is a x . which of the following equations could be used to find x ?
-----------------------------
Note:
"x" is not the appropriate variable form to use
to represent even integers. Every even integer
is a multiple of 2. So even integers need to
be represented as multiples of 2.
---
The correct answer should be
(2x)^2 + (2(x+1))^2 = (2(x+2))^2
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Cheers,
Stan H.
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