Quantitative Aptitude – Geometry – ABC is a triangle with integer-valued
XAT 2021 Exam Paper – Quantitative Aptitude – Geometry – ABC is a triangle with integer-valued
Q. ABC is a triangle with integer-valued sides AB = 1, BC >1, and CA >1. If D is the midpoint of AB, then, which of the following options is the closest to the maximum possible value of the angle ACD (in degrees)?
45
60
15
30
75
Answer: 15
Solutions:
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.