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Math Help - Area of triangle with side lengths 8, 10, 12

  1. #1
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    Area of triangle with side lengths 8, 10, 12

    How do you find the area of a triangle with side lengths of 8, 10, and 12? Reply within 24 hours after midnight tomorrow, I will go to bed so don't bother.

    Anyways, help please!
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  2. #2
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    Quote Originally Posted by extreme_pi
    How do you find the area of a triangle with side lengths of 8, 10, and 12? Reply within 24 hours after midnight tomorrow, I will go to bed so don't bother.

    Anyways, help please!
    One word "Heron's formula" - Oh that's two words.

    Let s be the semi-perimeter of a triangle with sides a, b and c, that is:

    s=\frac{a+b+c}{2}.

    Then area of the triangle is:

    \mbox{Area}=\sqrt{s(s-a)(s-b)(s-c)}.

    So in your case s=\frac{8+10+12}{2}=15 and so:

    \mbox{Area}=\sqrt{15(15-8)(15-10)(15-12)}\approx140.7.

    RonL

    PS

    You won't get banned for posting the same question multiple times, but the
    duplicates will be deleted. This is so that people do not waste their time
    answering questions already answered elsewhere.
    Last edited by CaptainBlack; January 25th 2006 at 09:36 PM.
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