ABC is a triangle with integer-valued sides AB = 1, BC >1, and CA >1. If D is the mid-point of AB, then, which of the following options is the closest to the maximum possible value of the angle ACD (in degrees)?
Explanation:
Given, AB = 1, AC > 1 and BC > 1 If ABC was an equilateral triangle i.e if AB = AC = BC = 1, ACD would have been 30°. As C moves away from A and B, the angle decreases, hence the angle should be less than 30 and among the given options only 15 is less than 30.
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