How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 18, and 22 units in length?

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Answer 1 · 2018-07-28T11:55:09

#192.642\ \text{unit}^2#

Semi perimeter #s# of triangle with the sides say #a=25, b=18, c=22# is given as

#s={a+b+c}/2#

#=\frac{25+18+22}{2}#

#=32.5#

Now, using Hero's formula, the area #\Delta# of triangle is given as

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

#=\sqrt{32.5(32.5-25)(32.5-18)(32.5-22)}#

#=192.642\ \text{unit}^2#