A straight line passes through the point P(1,2) and Q

(5,8). Calculate the length PQ

  • A \(4\sqrt{11}\)
  • B \(4\sqrt{10}\)
  • C \(2\sqrt{17}\)
  • D \(2\sqrt{13}\)
waec 2016mathematics

The correct answer is D. \(2\sqrt{13}\)

|PQ| = \(\sqrt{(x_2 - X- 1) + (y_2 - y_1)^2}\)

= \(\sqrt{(5 - 1)^2 + (8 - 2)^2}\)

= \(\sqrt{4^2 + 6^2}\)

= \(\sqrt{16 + 36}\)

= \(\sqrt{52}\)

= 2\(\sqrt{13}\)

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