How do you use Heron's formula to find the area of a triangle with sides of lengths #6 #, #5 #, and #8 #?

Question

2056 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-22T19:45:38

Area = 14.98 square units

enter image source here

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

#S = (6 + 5 + 8)/2 # = #19/2# = 9.5

Then use Heron's Equation to calculate the area.

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

#Area = sqrt(9.5(9.5-6)(9.5-5)(9.5-8)) #

#Area = sqrt(9.5(3.5)(4.5)(1.5)) #

#Area = sqrt(224.4375) #

#Area = 14.98 units^2 #