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In ∆Abc, Ray Ad Bisects ∠A and Intersects Bc in D. If Bc = A, Ac = B and Ac = C, Prove that D C = a B B + C - Mathematics

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प्रश्न

In ∆ABC, ray AD bisects ∠A and intersects BC in D. If BC = a, AC = b and AC = c, prove that \[DC = \frac{ab}{b + c}\]

योग

उत्तर

Since BC = CD + BD

`⇒ CD =BC -BD`

`CD = a - (ac)/(b+c)`

`= (ab)/(b+c)`

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अध्याय 7: Triangles - Exercise 7.8 [पृष्ठ १२७]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 7 Triangles
Exercise 7.8 | Q 25.2 | पृष्ठ १२७

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