00:01
All right, so we are trying to solve the problem.
00:02
A .b is a cord of length 9 .6.
00:04
We're going to see how drawing goes nice.
00:10
Ab 9 .6 is right here.
00:14
Okay, and just for room's sake, i'm not going to label units, but of a circle with center o.
00:20
Okay, so center is there and then o.
00:22
In a radius of 6 centimeters.
00:26
If the tangents at a, b intersect at point c, find the length of pa.
00:32
So what that means, tangents at a and b.
00:37
So basically, if there's a tangent line, which means a line that touches the circle once at a and b, there's one tangent line.
00:49
The second one, i'm trying my best to draw it as straight as possible.
00:52
Okay, there's a second tangent line.
00:54
They intersect at point p.
00:56
It wants us to find the length of p .a.
00:59
Okay, so i'm just going to write at x there.
01:01
So basically what we're doing is we're using the radius.
01:05
To actually create a different triangle because we need to find some angle measures and then we can apply them to our top triangle that you kind of see.
01:15
So i'm going to switch colors, hopefully to make it a little bit easier to see.
01:19
But we have this red triangle right here that we're going to look at.
01:24
Okay.
01:25
And maybe just for room's sake, i'm going to draw this a little bit bigger over here.
01:30
Okay.
01:31
The only thing we know so far about this red triangle is that this is 9 .6 centimeters.
01:36
Okay, but we actually know more than that.
01:38
We know because of the radius of being six centimeters, this length is six, and this is also six.
01:46
So if you were to go back and look actually at our circle, do you see how that actually is the radius from point o to point a.
01:52
That's a radius.
01:53
So it's six and point o to point b...