How do you use Heron's formula to find the area of a triangle with sides of lengths #5 #, #5 #, and #5 #?

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Answer 1 · 2016-01-29T01:10:58

The Area is #10.825 units^2#

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

#S = (5 + 5 + 5)/2 # = #15/2# = 7.5

Then use Heron's Equation to calculate the area.

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

#Area = sqrt(7.5(7.5-5)(7.5-5)(7.5-5)) #

#Area = sqrt(7.5(2.5)(2.5)(2.5)) #

#Area = sqrt(117.1875) #

#Area = 10.825 units^2 #