So this was a four day week and we took a test on Thursday and question day was Wednesday and we had a quiz Tuesday and class work Monday so I do not recall learning anything new. That being said, I’ve decided that this week my blog will be on Law of Sines. It’s a rather simple concept. You use this for non-right triangles. This should be your first choice in solving the triangle because it is shorter and much less complicated than Law of Cosines.
Formula:
SinA/A=sinB/B=sinC/C
Solve triangle ABC if BC=3, A=62 degrees, and B=43 degrees
-First you draw your triangle. (As always you should write your answers in as you get them.)
To find C, simply subtract 180-62-43.
C=75 degrees
Next we’ll solve for AC.
Sin62degrees/3=sin3degrees/B
You’re gonna cross multiply. So Bsin62degrees=3sin3degrees
Solve for b.
B=3sin3degrees/sin62degrees
B=.178
Use the same process to solve for AB.
Sin62degrees/3=sin75degrees/c
Csin62degrees=3sin75degrees
C=3sin75degrees/sin62degrees
C=3.381
Your final triangle should look like this J
That’s that.
--Sarah
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