# How do you use Heron's formula to determine the area of a triangle with sides of that are 12, 16, and 13 units in length?

##### 1 Answer

Feb 9, 2016

Area ≈ 76.69

#### Explanation:

This is a 2 step process.

step 1 : calculate (half the perimeter (s) ) of the triangle

step 2 : calculate the area (A)

let a = 12 , b = 16 and c = 13

step 1 :

# s = (a + b + c )/2 = (12 + 16 + 13 )/2 = 41/2 = 20.5 # step 2 : calculate the area using

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

# = sqrt(20.5(20.5-12)(20.5-16)(20.5-13))#

# = sqrt(20.5 xx8.5 xx4.5 xx7.5 ) =sqrt5880.9 ≈ 76.69#