00:01
Okay, so in terms of law of cosines, so we're going to use law of cosines here because of what the scenario we're going to create.
00:08
So the first thing we want to do is we have a parallelogram has sides of lengths 4 and 8 and 1 angle is 49 degrees.
00:14
So i drew a example of parallelogram.
00:16
I did it twice because i first want to find the length of the shorter diagonal right here.
00:21
And then i also want to find the length of the longer diagonal here.
00:25
So if i do the shorter diagonal, i'm going to say according to this, this will be my a value.
00:31
And then this will be b and c.
00:34
So i'm going to set this up as a squared is equal to 4 squared plus 8 squared minus 2 times 4 times 8 times the cosine of 49.
00:46
So this is going to give me my, this will give me the length of a once i solve for this.
00:53
So i sort of that.
00:58
Okay.
00:59
So i start doing this.
01:00
I got a squared equal 16 plus 64 minus.
01:03
I'm going to go ahead and put this all in my catheter once, so minus 41 .9878.
01:09
So a squared is able to add these all together now.
01:14
So i get a square is equal to 38 .0122, and then i square root that.
01:21
So a is equal to, sorry, give me one second here.
01:27
Okay, so i take the square to that and so a is equal to six point...