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Standard IX

Mathematics

RHS Criteria for Congruency

In triangle A...

Question

In triangle ABC, angle B = 35^o, angle C = 65^o and the bisector of angle BAC meets BC in P. Choose the correct descending order of AP, BP and CP

CP > AP > BP

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AP > CP > BP

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BP > AP > CP

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CP >AP > BP

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Solution

The correct option is C
BP > AP > CP

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Similar questions

In $Δ A B C, ∠ B = 35^{\circ}, ∠ C = 65^{\circ} and the bisector of ∠ B A C$ meets BC in P. Arrange AP, BP and CP in descending order.

BO and CO are respectively the bisectors of angle B and C of ∆ABC. AO produced meets BC at P. Show that AO/BP = AO/OP , AC/CP = AO/OP ,

AB/AC = BP/PC , AP is the bisector of angle BAC.

Q. In given figure BO and CO are respectively the bisectors of

∠ B

and

∠ C

△ A B C

. AO produced meets BC at P show that

(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) AP is the bisector of

∠ B A C

A B C

is an isosceles triangle in which

A B = A C

P

is any point in the interior of

Δ A B C

such that

∠ A B P = ∠ A C P

. Prove that
a)

B P = C P

A P

bisects

∠ B A C

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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In triangle ABC, angle B = 35o, angle C = 65o and the bisector of angle BAC meets BC in P. Choose the correct descending order of AP, BP and CP

The correct option is C BP > AP > CP

In triangle ABC, angle B = 35^o, angle C = 65^o and the bisector of angle BAC meets BC in P. Choose the correct descending order of AP, BP and CP

The correct option is C
BP > AP > CP