00:01
So in this problem, we're given a non -right triangle, and we're given the following measures.
00:05
We know alpha is 65 degrees, gamma is 76 degrees, and b is equal to 25.
00:10
Our goal is to find side length a.
00:12
So why don't we start by drawing a triangle? and again, we're told it's not a right triangle.
00:18
So in this particular case, we have alpha, we have beta, and we have gamma.
00:24
Now keep in mind, we know that alpha is 65 degrees, and gamma is 76 degrees.
00:30
Now in the directions, they tell us that side a is opposite alpha, and that side b is opposite beta.
00:38
Again, our goal is to solve for b, or to solve for a rather.
00:43
Well, in this case, first thing we can do is we know that all the angles in the triangle add up to 180.
00:48
So we can go ahead and find beta.
00:50
We're going to do 180 minus 65 minus 76.
00:54
Well, 180 minus 65 minus 76 is equal to 39.
00:59
So therefore, we know that beta is a 39 degree angle...