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JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

The area of a right triangle is 6864 square units. If the ratio of its legs is , then the value of , where is the inradius and represents the greatest integer function, is .

Answer: 5

Solution

Let the legs be and : area , so and . The legs are 286 and 48, and the hypotenuse is

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Question ID VK-008243