JEE Main Mathematics question
Not in JEE syllabus
In the incircle touches the sides , and respectively at , and . If the radius of the incircle is 4 units and , and are consecutive integers, then the value of , where is the semi-perimeter of the triangle, is .
Answer: 7
Solution
The tangent lengths are , , ; let them be , , , so . Area: ; also, by Heron,
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