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
