Question

help...................​

Answer 1

$\huge\mathfrak{ANSWER:}$

PQ = PR = QR = QM = RN = a ...1 ( Given )

consider PMR

QM = QR ... from 1

seg PQ is median.

By appollonius theorem

PM^2 + PR^2 = 2PQ^2 + 2QM^2

PM^2 + a^2 = 2a^2 + 2a^2

PM^2 = 4a^2 - a^2

PM^2 = 3a^2

PM = root 3 a

similarly we can prove that PN = root3 a

THANKS .