IPMAT Indore - The number of acute angled triangles whose sides are three consecutive positive integers and whose perimeter is at most 100 is | PYQs + Solutions

IPMAT Indore

Geometry

Hard

✅ Correct Option: 2

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Consider a triangle with side lengths 4 meters, 6 meters, and 9 meters. A dog runs around the triangle in such a way that the shortest distance of the dog from the triangle is exactly 1 meter. The total distance covered (in meters) by the dog in one round is

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Let $\triangle ABC$ be a triangle right-angled at $B$ with $AB = BC = 18$ . The area of the largest rectangle that can be inscribed in this triangle and has $B$ as one of the vertices is:

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