Question

In the given figure, $P$ is $300$ km eastward of $O$ and $Q$ is $400$ km North of $O,$ $R$ is exactly in the middle of $Q$ and $P,$ the distance between $Q$ and $R$ is

• A. $250$ km
• B. $250\sqrt{2}$ km
• C. $300$ km
• D. $350$ km

Answer 1

Answer: (A)

$250$ km

In the given figure, $POQ$ is a right angled triangle.

Thus, by applying Pythagoras Theorem,
$PQ=\sqrt{O{Q}^2+O{P}^2}$
$PQ=\sqrt{{300}^2+{400}^2}$
$PQ=500$ km

$QR=250$ km ($R$ is the midpoint of $PQ$)

option A