00:01
Okay, given this information about a triangle, right? remember, my angles are all capitalized, my side lengths are all lowercase and are crossed from the angles.
00:08
I'm given two sides and an angle between the sides, and i'm trying to find my missing side length b.
00:16
So i can either use law of signs or law of cosines, and my goal here in using law of signs and cosines is i can find any missing side or angle in a triangle without it having to be a right triangle or another specific type of triangle.
00:32
So what i use law of signs or a lot of cosines here? well, if i'm solving for a side length, then i only know one of my other angles, right? for law of signs, i would need to know two angles to solve for a side length.
00:44
But for law of cosines, i only need to know one angle, so i'm going to do law of cosines here equals v squared equals one side squared plus another side squared.
00:52
Does not matter the order of these sides.
00:57
It's 33 .4 times cosine of the angle across from the side length b, which is going to be 84 degrees...