Points and are two vertices of

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Points

P(2,-1)

and

Q(6,3)

are two vertices of

\triangle PQR

. The third vertex

R

lies somewhere on the

y

-axis, and

\angle P

is a right angle. (i) Determine the coordinates of

R

. (ii) Using the result from part (i), calculate the perimeter of

\triangle PQR

. Give your answer correct to one decimal place.