How do you use Heron's formula to determine the area of a triangle with sides of that are 8, 5, and 10 units in length?
2 Answers
Feb 4, 2016
here is how,
Explanation:
we know,
from heron's formula, we know,
Feb 4, 2016
Area ≈ 19.8
Explanation:
This is a 2 step process :
Calculate half of the triangle's perimeter (s)
Calculate the area
let a = 8 , b = 5 and c = 10
step 1 :
# s = (a+b+c)/2 = (8+5+10)/2 = 23/2 = 11.5 # step 2 : Area
# = sqrt(s(s-a)(s-b)(s-c) ) #
# = sqrt(11.5(11.5-8)(11,5-5(11.5-10)#
#= sqrt(11.5 xx 3.5 xx 6.5 xx 1.5) ≈ 19.8 #