Q7 of 70 Page 140

The bisector of ∠B intersects in D. If BA = 12 and BC = 16, AD = 9, then AC = ……

We have



Given: ∠ABD = ∠CBD


BA = 12,


BC = 16 &


AD = 9


To find: AC = ?


∵, In ∆ABC bisector of ∠B intersects AC at D.


By theorem of proportionality, we have



By reciprocating on both sides,


⇒


Substituting the values, we get


⇒


⇒


⇒ CD = 12


We can express AC as,


AC = AD + CD


⇒ AC = 9 + 12


⇒ AC = 21


Thus, option (b) is correct.

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