# How do you use Heron's formula to determine the area of a triangle with sides of that are 14, 12, and 17 units in length?

Apr 3, 2016

≈ 83.03 square units

#### Explanation:

This is a 2 step process.

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

let a = 14 , b = 12 and c = 17

hence s $= \frac{a + b + c}{2} = \frac{14 + 12 + 17}{2} = \frac{43}{2} = 21.5$

Step 2 : Calculate area (A) ,using

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

 = sqrt(21.5(21.5-14)(21.5-12(21.5-17)

 = sqrt(21.5xx7.5xx9.5xx4.5) ≈ 83.03" square units "