How do you use Heron's formula to determine the area of a triangle with sides of that are 8, 15, and 10 units in length?

1 Answer
Jim G.
May 24, 2016

36.98 square units

Explanation:

This is a 2 step process.

let a = 8 , b =15 and c= 10

Step 1

Calculate half the perimeter (s) of the triangle

s=(a+b+c)/2=(8+15+10)/2=16.5

Step 2

Calculate the area (A) using

A=sqrt(s(s-a)(s-b)(s-c)

rArrA=sqrt(16.5(16.5-8)(16.5-15)(16.5-10)

=sqrt(16.5xx8.5xx1.5xx6.5)≈36.98" square units"

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