How do you use Heron's formula to determine the area of a triangle with sides of that are 12, 16, and 13 units in length?
1 Answer
Feb 9, 2016
Area ≈ 76.69
Explanation:
This is a 2 step process.
step 1 : calculate (half the perimeter (s) ) of the triangle
step 2 : calculate the area (A)
let a = 12 , b = 16 and c = 13
step 1 :
# s = (a + b + c )/2 = (12 + 16 + 13 )/2 = 41/2 = 20.5 # step 2 : calculate the area using
# A = sqrt(s(s-a)(s-b)(s-c))#
# = sqrt(20.5(20.5-12)(20.5-16)(20.5-13))#
# = sqrt(20.5 xx8.5 xx4.5 xx7.5 ) =sqrt5880.9 ≈ 76.69#
