# 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 : $s = \frac{a + b + c}{2} = \frac{4 + 2 + 3}{2} = \frac{9}{2} = 4.5$

step 2 : $A = \sqrt{s \left(s - a\right) \left(s - b\right) \left(s - c\right)}$

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

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