# A triangle has sides with lengths: 4, 5, and 4. How do you find the area of the triangle using Heron's formula?

##### 1 Answer

May 5, 2016

area ≈ 7.806 square units

#### Explanation:

This is a 2 step process.

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

let a = 4 , b = 5 and c = 4

#s=(a+b+c)/2=(4+5+4)/2=13/2=6.5#

Step 2Calculate the area (A) using

#color(red)(|bar(ul(color(white)(a/a)color(black)(A=sqrt(s(s-a)(s-b)(s-c)))color(white)(a/a)|)))#

#A=sqrt(6.5(6.5-4)(6.5-5)(6.5-4))#

#=sqrt(6.5xx2.5xx1.5xx2.5) ≈ 7.806" square units"#