0:00
All right.
00:01
And so as we look at problem number four, okay, we are given a right triangle.
00:08
Okay.
00:11
So we've got a right triangle, kind of funky looking, but that's okay.
00:14
And we know that the angle of top is 60 degrees, and we know that the hypotenuse has a length of 20.
00:20
Our goal is to determine the length of the legs, a c and d.
00:29
Okay.
00:30
Well, if we.
00:32
We look at this diagram, if this angle is 90 and this is 60, then by the fall, this other angle has to be 30 degrees.
00:40
Therefore, we are working with, you guessed it, a 30, 60, 90 special right triangle, and therefore the pattern of size, the shorter leg can be represented by x, the longer leg can be represented as x times square root of three, and then the hypotenuse can be represented as two times the shortest leg.
01:04
And so let's plug in the information we are given.
01:07
So we're given the hypotenuse of 20.
01:11
And we are looking to determine the shortest leg, which is d, and the longer leg, which is c...