Question

Check whether the points P(0, 7), Q(5, 12), R(-10, -3) lie on a single line.

Answer 1

\(PQ=\sqrt{5^2+5^2}=5\sqrt{2}\)

\(QR=\sqrt{15^2+15^2}=15\sqrt{2}\)

\(PR=\sqrt{10^2+10^2}=10\sqrt{2}\)

PQ + PR + QR

∴ The three points are on the same line.