00:01
Okay, so we are asked to find the area of triangle abc with sides 19 .3, 22 .5, and 31.
00:11
But first before we can find area, we need to determine if this is actually a triangle.
00:15
So we are going to use a triangle inequality theorem to determine if this is true.
00:21
We're just going to take it one step at a time.
00:24
If we add the first two sides, it should be greater than the third side.
00:31
And this works out because when we add these two we get 41 .8 and that is greater than 31.
00:39
The next two sides, 19 .3 plus 31, should be greater than 22 .5.
00:48
When we add these two together, we get 50 .3, which is greater than 22 .5.
00:53
So that checks out.
00:55
The last two sides, the last combination, 22 .5 plus 31.
01:02
Should be greater than 19 .3.
01:05
And when you add these two together, that gives you 53 .5, which is definitely greater than 19 .3.
01:13
So since we have proven that this is a triangle, we can now move on to calculate the semi -perimeter.
01:21
So to find the semi -parimeter, we add all of our sides, so 19 .3, 31, and 22 .5...