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Math Help - A question on Heron's Formula...easy..but confusing..

  1. #1
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    A question on Heron's Formula...easy..but confusing..

    umm....can you guys please help me with this question??? i mean the formula is really easy..but i get confused in the middle...

    Q. Find the area of a triangle whose sides are x, y and z, using Heron's Formula.

    my doubt - here, s= x + y + z
    2
    so while substituting... the values are getting confusing..
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  2. #2
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    Hey

    This formula is for the semiperimeter. To calcul the area, the Heron's formula is A=\frac{\sqrt{(x^2+y^2+z^2)^2-2(x^4+y^4+z^4)}}{4}

    wiki definition
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  3. #3
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    i know Heron's formula...
    it's
    \sqrt {s(s-a)(s-b)(s-c)}

    how come you got that?

    and i WAS talking about the semi perimeter...
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  4. #4
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    Quote Originally Posted by sudha_14 View Post
    umm....can you guys please help me with this question??? i mean the formula is really easy..but i get confused in the middle...

    Q. Find the area of a triangle whose sides are x, y and z, using Heron's Formula.

    my doubt - here, s= x + y + z
    2
    so while substituting... the values are getting confusing..
    You start by substituting for s:

    \sqrt{ \left( \frac{x+y+z}{2}\right) \cdot \left( \frac{x+y+z}{2} - x\right)} \cdot \left( \frac{x+y+z}{2} - y\right) \cdot \left( \frac{x+y+z}{2} - z\right).

    Now you get common denominators and simplify the fractions in the second, third and fourth bracket. Then simplify.

    It would help if you showed where you're stuck.
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