If $B O$ and $C O$ are respectively the fraction Of $∠ B$ & $∠ C$ of $△ A B C$ . $A O$ produced meets as at $P$ and find the $A B / A C$ .

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Solution

$\begin{matrix} I n Δ A B P B O i s b i sec t o r o f ∠ B \frac{A B}{B P} - \frac{A O}{P O} \to (i) I n Δ A C D O C i s b i sec t o r o f ∠ C \frac{A C}{C P} = \frac{A O}{O P} \Rightarrow (i i) f r o m (i) & (i i) \frac{A B}{B P} = \frac{A C}{C P} \frac{A B}{A C} = \frac{B P}{C P} \end{matrix}$

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If BO and CO are respectively the fraction Of ∠B & ∠C of △ABC. AO produced meets as at P and find the AB/AC.

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If $B O$ and $C O$ are respectively the fraction Of $∠ B$ & $∠ C$ of $△ A B C$ . $A O$ produced meets as at $P$ and find the $A B / A C$ .