# How do you use Heron's formula to find the area of a triangle with sides of lengths #4 #, #2 #, and #3 #?

##### 1 Answer

Mar 5, 2016

≈ 2.9 square units

#### Explanation:

This is a 2 step process.

step 1: Calculate half of the perimeter ( s )

step 2: calculate the area (A)

let a = 4 , b = 2 and c = 3

step 1 :

# s = (a+b+c)/2 = (4+2+3)/2 = 9/2 = 4.5 # step 2 :

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

#=sqrt(4.5(4.5-4)(4.5-2)(4.5-3)#

#rArr A = sqrt(4.5xx0.5xx2.5xx1.5) ≈ 2.9 " square units "#