Question

in equilateral triangle pqr, a point m is taken on base qr such that rm :qm=2:1.prove that 9pm^2=7pq^2. plzzzz help me

Answer 1

Answer:

In △PQL and △RMP

∠LPQ= ∠QRP (given)

∠RQP= ∠RPM (given)

⇒ △PQL∼ △RMP

∠LPQ= ∠QRP (given)

∠Q= ∠Q (common)

△PQL∼ △RQP by AA similarity

=

R Q

P Q

=

Q P

Q L

=

P R

P L

⇒

PQ 2

QR× QL

Hence proved.