If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
MATHEMATICS
WAEC 2018
If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
- A. 8 units
- B. 11 units
- C. 15 units
- D. 17 units
Correct Answer: D. 17 units
Explanation
|MN| = \(\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)
= \(\sqrt{(-3 -5)^2 + (8 - 7)^2}\)
= \(\sqrt{(-8)^2 + (8 + 7)^2}\)
= \(\sqrt{64 + (15)^2}\)
= \(\sqrt{64 + 225}\)
= \(\sqrt{289}\)
= 17 units
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