Description
In triangle ABC, if C=20 degrees, B=110 degrees, and b=22 inches, find the length of the other two sides a and c
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Explanation & Answer
Since we know an angle AND it's opposite side we use The Law of Sines
22 / sin110 = c / sin20
c = 22sin20 / sin110
c = 8 inches
To find a, we need to know angle A
Angle A is 180 - (110+20) = 180 - 130 = 50 degrees
Therefore, using Law of Sines again,
22 / sin110 = a / sin50
a = 22sin50 / sin110
a = 17.9 inches
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