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JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

In , the ex-radii are , and . If , , represent the area, semi-perimeter and inradius of the triangle respectively, then the value of is .

Answer: 31

Solution

For any triangle, ; with this equals . So , giving

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Question ID VK-008658