How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 29, and 31 units in length?
1 Answer
Feb 25, 2016
Explanation:
The semi-perimeter,
#s = frac{a+b+c}{2} #
#= frac{25+29+31}{2}#
#= 85/2#
Now Heron's formula states that the area of the triangle is
#A = sqrt{s(s-a)(s-b)(s-c)}#
#= sqrt{85/2(85/2-25)(85/2-29)(85/2-31)}#
#= {15sqrt8211}/4#
