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 1
Calculate 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 2
Calculate 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"#
