`a = 12.32, b = 8.46, c = 15.05` Use Heron's Area Formula to find the area of the triangle.

Expert Answers
lemjay eNotes educator| Certified Educator

When the three sides of the triangle are known,  its area can be solved using the Heron's formula.

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

where a, b and c are the length of the three sides and s  is  half of the triangle's perimeter.

The value of s will be:

`s= (a+b+c)/2= (12.32+8.46+15.05)/2=35.83/2=17.915`

Plugging the values of s, a, b and c to the Heron's formula yields:

`A=sqrt(17.915(17.915-12.32)(17.915-8.46)(17.915-15.05))`

`A=52.11`

Therefore, the area of the triangle is 52.11 square units.