00:01
So on this problem, we have this triangle a, b, c.
00:03
And we have points p and q on side b, c, as shown here, such that the side or the line segment connecting a, line segment connecting a with p, and a with q are of equal length.
00:18
So we designated them with the two hash marks in them, saying that they're equal length.
00:23
And we want to show that ac plus ab, plus bc is greater than 2 ap plus pq.
00:48
Okay.
00:52
Now, what does this really mean? well, a, c is this side.
01:04
A, b is this side, and b .c is this side.
01:12
So i want to show the perimeter of the big triangle is greater than two times, ap plus pq.
01:22
Ap of course is here and pq.
01:28
All right, interestingly enough.
01:29
So let's start with the left -hand side.
01:32
So i have ac plus ab plus b -c.
01:41
Okay.
01:44
Well, b -c can be written in terms of b -p -q and c, can't it? so this is the same as ac plus ab plus bp plus pq plus qc...