JEE Advanced 2010 Mathematics question
Not in JEE syllabus
Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose , and the area of the triangle is . If is obtuse and if r denotes the radius of the incircle of the triangle, then is equal to
Answer: 3
Solution
Area . Since C is obtuse, . By the cosine rule, $ = +
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