How do you use Heron's formula to find the area of a triangle with sides of lengths #11 #, #14 #, and #13 #?

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Answer 1 · 2016-02-24T17:35:37

#Area = 67.53 units^2 #

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

#S = (11 + 14 + 13)/2 # = #38/2# = 19

Then use Heron's Equation to calculate the area.

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

#Area = sqrt(19(19-11)(19-14)(19-13)) #

#Area = sqrt(19(8)(5)(6)) #

#Area = sqrt(4,560) #

#Area = 67.53 units^2 #