The approximate length of side AB is 14.0. The correct option is B. 14.0 units
Law of sines
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (Sum of angles in a triangle)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
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