# 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

May 24, 2016

36.98 square units

#### Explanation:

This is a 2 step process.

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

Step 1Calculate half the perimeter (s) of the triangle

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

Step 2Calculate 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"#