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In ∆ABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and

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| In ∆ABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and AD = 8 cm, then the length of CD is :

A. 16 cm

B. 14 cm

C. 16.2 cm

D. 14.8 cm

Right Answer is: A

SOLUTION

Let CD =

Then,

By Stewart theorem,

Where








Hence,

We take the positive value –

So, Required ⇒ CD =

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    1. In ∆ABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and

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