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Math Help - Find area of triangle [Heron's Formula]

  1. #1
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    Find area of triangle [Heron's Formula]

    I thought I knew how to do this, but I keep getting the incorrect answer. Can someone help me out? Thanks in advance.

    Find the area of a triangular flower garden with sides 11 ft, 19 ft, and 18 ft, to the nearest ten square feet [using Heron's Formula].
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  2. #2
    Super Member Aryth's Avatar
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    First, you find the semiperimeter, which is:

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

    Where a, b, and c are the sides of the triangle in any order.

    Then you plug what you get for s into Heron's Formula, which states that the Area (A) of a triangle is:

    A = \sqrt{s(s - a)(s - b)(s - c)}

    All you have to do is plug in the numbers. Good luck.
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  3. #3
    Member TheMasterMind's Avatar
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    Quote Originally Posted by Intrusion View Post
    I thought I knew how to do this, but I keep getting the incorrect answer. Can someone help me out? Thanks in advance.

    Find the area of a triangular flower garden with sides 11 ft, 19 ft, and 18 ft, to the nearest ten square feet [using Heron's Formula].
    A=\sqrt{24(24-11)(24-19)(24-18)}<br />

    A=\sqrt{24(13)(5)(6)}

     A=\sqrt{9360}

    A=97ft^2

    (for verification)
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  4. #4
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    Thanks, that's what I did get also but I guess my book's answer key is wrong.
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  5. #5
    Super Member Aryth's Avatar
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    Not necessarily, what did your book have?
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