In , point lies on . Suppose and . Given , and , find the length of…

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

In △ABC\triangle ABC, point DD lies on ABAB. Suppose ∠ACD=∠DBC\angle ACD = \angle DBC and ∠ADC=∠DCB\angle ADC = \angle DCB. Given AD=10 cmAD = 10\,\text{cm}, BD=9 cmBD = 9\,\text{cm} and DC=6 cmDC = 6\,\text{cm}, find the length of BCBC. (a) 7.5 cm7.5\,\text{cm} (b) 5.4 cm5.4\,\text{cm} (c) 3.6 cm3.6\,\text{cm} (d) 6.4 cm6.4\,\text{cm}

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