00:01
A large triangular shaped table is supported by a single pool at the center of gravity.
00:06
How far is vertex c from the center of gravity? we essentially want to find this length that i've highlighted, which is going to be in a two to one ratio to the midpoint of ab.
00:22
And there are likely several ways to answer this question.
00:26
I'm just going to provide one.
00:28
If we were to find the full length of what i'm going to call x temporarily here, we can do this, since this is a midpoint, we know it's four here, and we can find angle b from our original overall triangle of the tabletop with the law of cosines.
00:57
So let's do that.
00:59
We want to find angle b because that's part of this triangle.
01:04
With the law of cosines, it would say side b, which would be 5, squared is equal to the sum of the squares of the other two sides, minus two times the product of the other two sides, times the cosine of the included angle b...