SOLUTION: What are the sides (to 2 decimal places) of the following triangle? I am writing the numbers down Bottom right A=45 degrees. Bottomw left B=60 degrees. Top Point C=75 degrees.

Question 253721: What are the sides (to 2 decimal places) of the following triangle? I am writing the numbers down
Bottom right A=45 degrees.
Bottomw left B=60 degrees.
Top Point C=75 degrees.
In between C and B is 5.
What would C be? (it is located between A&B)
And B (located between A and C).

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the Law of Sines is the easiest solution

the sides of a triangle are in the same ratios as the sines of their opposite angles

a:b :: sin(A):sin(B) ___ a / b = sin(A) / sin(B) ___ [a sin(B)] / sin(A) = b ___ [5 (√3 / 2)] / (√2 / 2) = b

5√6 / 2 = b

similarly for c ___ c = [5 sin(75)] / sin(45)
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