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| 1. |
A circle is inscribed in a triangleABC. If AB=12cm,AC=10cm,BC=8cm Find AD,BE and CF |
| Answer» Ans. Given : A Circle inscribed in A\xa0triangle ABCAB = 12cm, AC = 10cm, BC = 8cmWe Know that Tangent drawn from an external point are equal in length.\xa0Let AD = x\xa0Then AD = AE = x [Tangent from Same point]Similarly\xa0BD = BF = y\xa0CE = CF = z\xa0AB = AD + BD => x + y =\xa012 (1)AC = AE + EC\xa0=> x + z = 10 (2)BC = BF + FC=> y + z = 8 (3)Adding all three equations, we get2(x+y+z) = 30=> x + y + z = 15 (4)from (1) x + y = 12then z = 3 cmSimilarly y = 5 cm and z = 7cm | |