How do you use Heron's formula to find the area of a triangle with sides of lengths #23 #, #21 #, and #22 #?

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Answer 1 · 2016-01-22T19:36:42

The Answer is 208.71 square units.

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First we would find S which is the sum of the 3 sides divided by 2.

#S = (23 + 22 + 21)/2 # = #66/2# = 33

Then use Heron's Equation to calculate the area.

#Area = sqrt(S(S-A)(S-B)(S-C)) #

#Area = sqrt(33(33-23)(33-21)(33-22)) #

#Area = sqrt(33(10)(12)(11)) #

#Area = sqrt(43,560) #

#Area = 208.71 units^2 #