JEE Advanced 2019 Mathematics question
In a non-right-angled triangle , let denote the lengths of the sides opposite to the angles at respectively. The median from meets the side at , the perpendicular from meets the side at , and and intersect at . If , , and the radius of the circumcircle of the equals 1, then which of the following options is/are correct?
Answer: (A),(C),(D)
Solution
Sine rule with circumradius 1: , . So and or ; would make , so , and . (A) Median: : correct. (D) Area
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