00:01
All right, so here we have two questions based on this collection of line segments, right, based on the points, a, b, c, d, and f.
00:08
It's strange that we don't have an e here, but, you know, never mind.
00:12
Is it possible to use the segment addition postulate to show that fb is greater than c b? okay, so let's start with that, and then we'll read the second part.
00:21
So we have fb, that's this, that's this line segment here, and to show that that's greater than c b, which is this one over here.
00:29
And so if we just look at it, we can see that it's clearly greater, but can we use segment addition postulate to prove it? so using the segment addition postulate, we know that if c is between f and b, which it is here, we can see that c is indeed contained in the line segment that unites f and b.
00:45
So then we know that fb, the distance between f and b, must be equal to the distance between f and c plus the distance between c and b.
00:55
Right and so we're trying to find that fb is greater than cb and looking at this equation if we assume that all of these values here are positive which they are because they are distances then we can see that that is indeed true because fb is just cb plus some other positive value right so cb is clearly less than fb okay so now we have to prove that ac is greater than db or at least say if it's possible okay, so let's just roll these back...