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UJ. Let S denote the incircle of AABC. Draw il ale parallel to the sides of ABC Letri,12,13 be the s of ABC. Let rı,r2, 13 be the inradii of the three corner triangles so formed. Find the larøe argest integer that does not exceed rı + 12 + 13. 29. In a triangle ABC, the median AD (with D on BC and the angle Disc LAC) are perpendicular to each other. If AD = 7 and BE-9. find the integer Don BC) and the angle bisector BE (with E on Fland BE = 9, find the integer nearest to the area car of triangle ABC 30. Let E denote the set of all natural numbers n such that 3 < 1 {1,2,3,...,n} can be partitioned in to ? of n such that 3

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