00:01
So in special right triangles, which you have, there is a pattern.
00:07
If you have a 45 -45 -90 triangle, then the legs are the sides opposite, the 45 -degree angles, and the hypotenuse is leg radical two.
00:20
In the other special right triangle, which is what we call a 30, 60, 90, whenever we can, we start with the side opposite 30.
00:30
That's a.
00:32
The hypotenuse is 2a and the side opposite 60 is a radical 3.
00:39
So let's look at problem number one.
00:43
You have a 45, 4590, even though that other 45 degree angle isn't marked.
00:52
And you are given the hypotenuse, which is 28.
00:55
So that means 28 equals a times radical 2, divide both.
01:02
Sides by radical 2 and rationalize it so you have 28 radical 2 over 2 or 14 radical 2.
01:14
So x and y both have the same measure 14 radical 2 a piece.
01:24
Now in problem number 2 you have a 30 60 90 and you know that because you have a right angle and there's a 60 degree angle which means you have to have the other angle measuring 3.
01:37
You have the hypotenuse.
01:40
So what that tells you is that's twice the measure of the short side, and the other side is eight radical three, short side radical three.
01:50
So x is going to equal eight radical three, and y is going to equal eight.
02:00
Let's fit number three up here.
02:02
I'm just going to box in.
02:03
This is the little pattern box...