00:01
Okay, so we are being asked to find the area of a triangle with sides 33 .4, 28 .5, and 22 .3 units.
00:12
Before we can find the area of a triangle, we need to make sure that when we have these sides, that it does actually form a triangle.
00:20
So we are going to use the triangle inequality theorem.
00:28
So that says that two sides when added together should be greater than the third side.
00:36
So we'll just take a plus b and see if that is greater than the third side.
00:47
This is greater than 22 .3, so that checks out.
00:53
Let's try their next combination.
00:57
33 .4 plus 22 .3 .3 should be.
01:04
Greater than 28 .5.
01:08
When added together it does equal more than 28 .5, so that checks out.
01:15
And our last combination is 28 .5 plus 22 .3 should be greater than 33 .4.
01:27
And when you add these two together, it is greater than 33 .4.
01:31
So that tells us that these three sides of these length, will forming triangle.
01:38
Now that we have that, we need to find the semi -parimeter to be able to use heron's area formula.
01:47
So we're just going to add our three sides, 33 .4 plus 28 .5 plus 22 .3.
02:02
And divide everything by 2...