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zavuch27 [327]
4 years ago
14

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 29°, b = 26, c = 28

Mathematics
1 answer:
Vlada [557]4 years ago
6 0
According to law of sines, sinB/b=sinC/c. sin29 degrees=0.485, so we can solve for sinC in the equation, and sinC=0.522. Angle C=arcsin(0.522), there are two possibilities for C.
case 1:C=31.5 degrees approximately by a calculator. Angle A=180-29-31.5=119.5 degrees. We can solve for the length of a by using law of sines again. sinA/a=sinB/b, a=46.7
case 2: C=148.5. Angle A=180-29-148.5=2.5 degrees. SinA/a=sinB/b, a=2.34. 
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