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
Algebra ->
Problems-with-consecutive-odd-even-integers
-> 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
Log On
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)
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
====================================
Cheers,
Stan H.
=============================
(