How do you use Heron's formula to find the area of a triangle with sides of lengths #3 #, #8 #, and #6 #?

Question

2230 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-29T19:26:28

The Area is #7.64 units^2#

enter image source here

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

#S = (3 + 8 + 6)/2 # = #15/2# = 8.5

Then use Heron's Equation to calculate the area.

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

#Area = sqrt(8.5(8.5-3)(8.5-8)(8.5-6)) #

#Area = sqrt(8.5(5.5)(0.5)(2.5)) #

#Area = sqrt(58.4375) #

#Area = 7.64 units^2 #