00:01
So in this problem, you're being asked to use heron's formula in order to find the area of a triangle whose side lengths are 33, 32, and 21.
00:08
Well, first off, how does heron's formula to find the area work? well, here's the formula.
00:13
It's a equals the square root of s times s minus a times s minus b times s minus c, where a, b, and c are the side lengths in the triangle, and s is a constant.
00:25
And to get that constant, what it's equal to is 1 half of a plus b plus c.
00:30
So it's half of the sum of the sides.
00:33
So the first thing we need to do is we need to go ahead and find s.
00:36
So to find s, we're going to do 1 half times a, which is 33, plus b, which is 32, plus c, which is equal to 21.
00:45
So first, we're going to go ahead and add those values up.
00:48
Well, 33 plus 32 plus 21 is equal to 86.
00:53
So now we have to find half of 86, which is 43...