Find the distance between the points (2, 5) and (5, 9).

FURTHER MATHEMATICS
WAEC 2014

Find the distance between the points (2, 5) and (5, 9).

  • A. 4 units
  • B. 5 units
  • C. 12 units
  • D. 14 units

Correct Answer: B. 5 units

Explanation

Distance between two points (a, b) and (c, d) = \(\sqrt{(d - b)^{2} + (c - a)^{2}}

Distance between (2, 5) and (5, 9) = \(\sqrt{(9-5)^{2} + (5-2)^{2}}\)

= \(\sqrt{16 + 9} = \sqrt{25} = 5 units\)



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