00:01
So for this problem, i'm given three sidelines, and i'm asked if the sidelines form a triangle, and if they do, is the triangle acute, obtuse, or right? so let's start with the first part, because if the silenings don't form a triangle, then there's no triangle to classify as acute, right, or obtuse.
00:24
So the first part is, can a triangle be formed, given the three? side lengths.
00:34
And the triangle can be formed if i follow the triangle inequality, a plus b is greater than c.
00:43
And one of the rules when using this inequality is that c must equal the longest side length, or the greatest sign length.
00:52
So by default, we have c is equal to 26.
00:59
And a and b can be the two shorter sign lengths, right? a is equal.
01:03
A is equal to to 15, b is equal to 20, i can swap a and b around.
01:08
So i can say a is equal 20, b equals 15, i'll still get the same result.
01:13
The reason why we use this triangle on the quality here is that if i have say assignment c, i need a &b to be long enough to make a triangle.
01:23
So if a &b are too short, i can't make a triangle.
01:26
However, if a &b are long enough together, then i can form a triangle.
01:32
So that's the motivation why we use.
01:33
Using this inequality.
01:37
So let's substitute a and b...