00:01
For problem 15, we're given a figure.
00:03
We're also given that angle rsq, which is this angle here, rsq, is equal to angle tsq, which is this angle here.
00:15
So we will denote that by the tick marks.
00:19
We also know that tq is 1 .3 units.
00:25
And they want us to find rq, which is this segment here.
00:30
So because angle rsq and angle tsq, are congruent, we know that that angle is bisected.
00:39
That's the definition of an angle bisector.
00:41
It cuts the angle into two equal parts.
00:45
Because we know it's an angle bisector, we can use our theorems about angle bisectors to help us find segment rq.
00:55
The angle bisector theorem tells us that if a point is on the bisector, then it is equidistant from the sides of the angles...