In , a point lies on such that . Given , , and , find the value of…

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

Problem

In ΔABC\Delta ABC, a point DD lies on BCBC such that ∠ABD=∠ACD\angle ABD = \angle ACD. Given AB=7x−3 cmAB = 7x - 3\,\text{cm}, BD=3x−2 cmBD = 3x - 2\,\text{cm}, AC=5x+1 cmAC = 5x + 1\,\text{cm} and CD=2x cmCD = 2x\,\text{cm}, find the value of xx. (a) 33 (b) 22 (c) 11 (d) 44

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