waecmaths question:
If M and N are the points (–3, 8) and (5, –7) respectively, find MN
Option A:
8 units
Option B:
11units
Option C:
15 units
Option D:
17 units
waecmaths solution:
$\begin{align} & ({{x}_{1}},{{y}_{1}})=(-3,8),\text{ }({{x}_{2}},{{y}_{2}})=(5,-7) \\ & \text{Distance between two points }=d=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ & d=\sqrt{[{{(5-(-3)]}^{2}}+{{[-7-8]}^{2}}} \\ & d=\sqrt{64+225}=\sqrt{289}=17 \\\end{align}$
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