# 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?

##### 1 Answer

Apr 3, 2016

≈ 83.03 square units

#### Explanation:

This is a 2 step process.

Step 1: Calculate half the perimeter (s) of the trianglelet a = 14 , b = 12 and c = 17

hence s

# = (a+b+c)/2 = (14+12+17)/2 =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 " #