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2. The radius of the inefrete of a triangle is 4 cm and the segments into whichone side is divided by the point of contact are 6 cm and 8 cm. Determine theother two sides ofthe trianglesa |
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Answer» Let the given circle touch the sides AB and AC of the triangle at point E and F respectively and the length of the line segment AF bex.IntraingleABC,CF = CD = 6cm(Tangents on the circle from point C)BE = BD = 8cm(Tangents on the circle from point B)AE = AF =x(Tangents on the circle from point A)AB = AE + EB =x+ 8BC = BD + DC = 8 + 6 = 14CA = CF + FA = 6 +x2s =AB + BC + CA=x+ 8 + 14 + 6 +x=28 + 2xs= 14 +x meritnation se copy maar diya |
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