00:02
For this problem, you're given a triangle with the length opposite side a as x, the length opposite side b as y, and then the hypotenuse is z.
00:17
All right, you're told that you have a sign ratio, and this is in reduced form.
00:26
So we're going to end up using a proportion later.
00:30
But in reduced form, we have the side opposite b, so this is opposite.
00:35
Over hypotenuse.
00:39
The side opposite b is a 1.
00:44
All right, and i call these the scale numbers.
00:49
It's scaled down like a scale factor that you used in geometry.
00:53
And the hypotenuse is the square to 3.
00:57
All right.
00:57
What we need to do first is use pythagorean theorem on those values and find out what our scale number is going to be for the x.
01:08
And then we can set up some ratios to to find the other missing pieces.
01:13
All right, so we'll use pythagorean theorem.
01:18
So we'll have the square to three squared is equal to one squared plus, and the missing variable is x.
01:30
So three equals one plus x squared.
01:35
So we'll have an x value is going to be square to two.
01:44
All right, so those are going to be our scale numbers that we're going to be able to use to find the missing side by using proportion...