BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO

1.	BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.
Answer» BO and CO are respectively the bisectors of $∠ B$ and $∠ C$ of $Δ A B C$ . AO produced meets BC at P. Show that [4 MARKS] (i) $\frac{A B}{B P} = \frac{A O}{O P}$ (ii) $\frac{A C}{C P} = \frac{A O}{O P}$ (iii) $\frac{A B}{A C} = \frac{B P}{P C}$ (iv) $A P$ is the bisector of $∠ B A C$ .

BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.

Answer»

BO and CO are respectively the bisectors of $∠ B$ and $∠ C$ of $Δ A B C$ . AO produced meets BC at P.

Show that [4 MARKS]

(i) $\frac{A B}{B P} = \frac{A O}{O P}$

(ii) $\frac{A C}{C P} = \frac{A O}{O P}$

(iii) $\frac{A B}{A C} = \frac{B P}{P C}$

(iv) $A P$ is the bisector of $∠ B A C$ .

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BO and CO are respectively the bisectors of ∠B and ∠C of ΔABC. AO produced meets BC at P.Show that [4 MARKS](i) ABBP=AOOP(ii) ACCP=AOOP(iii) ABAC=BPPC(iv) AP is the bisector of ∠BAC.

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