JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

The altitudes from the angular points , and on the opposite sides , and of are 210, 195 and 182 respectively. Then the value of is (where and is the greatest integer function) .

Answer: 7

Solution

Equal areas give , so . Multiplying by the LCM 2730: . Write etc.:

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Question ID VK-008251