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4 votes
Solve the triangle.

A = 33°, a = 20, b = 13

User Joonsang
by
8.1k points

2 Answers

4 votes

Answer:

B = 20.7°, C = 126.3°, c ≈ 29.6

Explanation:

User Pith
by
8.1k points
3 votes
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find B

sin(B)/13=sin(33)/20
B=20.73 ,159.26
The sum of all the angles in a triangle is 180180 degrees.33+20.733+C=180
C=126.266
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find ABA⁢B.sin(126.26688907)/AB=sin(20.733)/13
AB=29.607
so final results are
A=33A=33B=20.733C=126.2668a=20b=13c=29.607
hope this helps

User Maraujop
by
7.2k points