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.26.Theradiusof the incircle of atriangle is 4 em and the segments intowhich one side is divided by the point ofcontact are 6 cm and 8 cm. Determinethe other two sides of the triangle.Sol.648 |
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Answer» Area Δ ABC = 1/2 . 4 . (AB + BC + AC) = root( s(s – a)(s – b)(s – c))i.e., 4 s = root( s(s – a)(s – b)(s – c) )16 s = (s – a) (s – b) (s – c)i.e., 16 (14 + x) = x X 6 X 8, i.e., x = 7Therefore, AB = 15 cm and AC = 13 cm. |
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