How do you use Heron's formula to find the area of a triangle with sides of lengths #8 #, #8 #, and #8 #?

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Answer 1 · 2016-01-22T19:48:43

Area = 27.71 square units

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

#S = (8 + 8 + 8)/2 # = #24/2# = 12

Then use Heron's Equation to calculate the area.

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

#Area = sqrt(12(12-8)(12-8)(12-8)) #

#Area = sqrt(12(4)(4)(4)) #

#Area = sqrt(768) #

#Area = 27.71 units^2 #