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Math Help - right triangle

  1. #1
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    right triangle

    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)

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  2. #2
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    the lengths of your sides are:
    x
    x+2
    x+4

    The hypoteneuse is the always the longest side, use pythagoras' theorum

    If you are completely stuck, read the spoiler
    Spoiler:

    Pythagoras' theorum says a^2 + b^2 = c^2, where c is the hypotenuse.

    Apply this as follows:
    a = x
    b = x+2
    c = x+4

    x^2 + (x+2)^2 = (x+4)^2
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  3. #3
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    Quote Originally Posted by sri340 View Post
    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)
    If the sides are consecutive even integers, then their lengths are

    x, x + 2, x+ 4.


    Now what is the extremely well known formula that relates three sides of a right angle triangle?
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  4. #4
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    plagiarism!

    j/k :P
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  5. #5
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    Quote Originally Posted by SpringFan25 View Post
    plagiarism!

    j/k :P
    If Pythagoras was still alive, he'd sue
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