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 "#
