00:01
All right, so you've been given this information.
00:05
And for a triangle with angles a, b, and c, you've been given an angle in two sides and not the angle in between these two.
00:15
So this is an ssa side -side angle.
00:22
And there could be two triangles that solve this.
00:27
The key word here is two.
00:32
There could be two triangles that solve this.
00:36
So we'll have to test for that.
00:39
Okay, so let's kind of draw.
00:50
So i'm going to call this a, and we've been told that this angle's 100 degrees.
00:57
And we've been told that its corresponding side is 125.
01:04
And i'm going to call this one b.
01:07
So that's the side b, and i'm going to call this angle c.
01:13
And then this side over here will be c.
01:16
And we've been told that c is equal to 10.
01:20
And so we have to fill in all the information that's missing from this triangle in order to solve it, and there could be two triangles.
01:27
So if we're going to use the law of signs, we have the angle and the side of a, and we have the side of c.
01:42
So i'm going to use this form of it first.
01:45
And so if i put in what i know, we're going to have sign of 100 over 125, is equal to sine of c, which we don't know.
02:00
That should be a c, over the side c, which is 10.
02:04
Okay, now i'm going to multiply both sides by 10.
02:08
So it will become over in the numerator here.
02:15
And when i multiply this by 10, the 10's cancel and i'm just left with sign of c.
02:20
Now to find c, i'm going to take the inverse sign of both sides.
02:35
Okay, so when i do that, i'll be left with a value for c.
02:43
Now make sure your calculator is in degrees when you put that in your calculator.
02:53
So when you press the inverse of that, you're going to get this for c.
03:09
But there's also another possibility for c.
03:13
There's another possible answer for c is that c is going to be equal to 180 minus this number...