SAS calculation

Given the triangle ABC, if side b is 31 ft., side c is 22 ft., and angle A is 47°, find side a. Please round to one decimal.

Correct answer:

a =  22.7 ft

Step-by-step explanation:

b=31 ft c=22 ft A=47   a2 = b2+c2  2 b c cos A  a=b2+c22 b c cosA=b2+c22 b c cos47° =312+2222 31 22 cos47° =312+2222 31 22 0.681998=22.7=22.7 ft

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