Question

$PR=QR$

Verified by Toppr

$AB=AC$ [Given]

$⇒21 AB=21 AC$

$⇒AP=AQ$......(i) [Since $P$ and $Q$ are mid-points]

In $△BCA,$

$PR=21 AC$ [$PR$ is line joining the mid-points of $AB$ and $BC$]

$⇒PR=AQ$......(ii)

In $△CAB,$

$QR=21 AB$ [$QR$ is line joining the mid-points of $AC$ and $BC$]

$⇒QR=AP$......(iii)

From (i)(ii) and (iii)

$PR=QR$

0

0