In triangle ABC , m angle cap A is equal to 25 degrees , m angle cap c is equal to 55 degrees , and AB is equal to 60 What are the approximate measures of the remaining side lengths of the triangle?
Answer
A
BC almost equal to 72 , AC almost equal to 31
B
BC almost equal to 31 , AC almost equal to 72
C
BC almost equal to 87 , AC almost equal to 23
D
BC almost equal to 23 , AC almost equal to 87
Explanation
The third angle is B = 180° − 25° − 55° = 100°. Since AB = 60 is opposite angle C, the Law of Sines gives BC = 60(sin 25°)/(sin 55°) ≈ 31 and AC = 60(sin 100°)/(sin 55°) ≈ 72. So the approximate side lengths match choice B: BC ≈ 31 and AC ≈ 72.
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