Question 25

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waecmaths question: 

A straight line passes through the points P(1, 2) and Q(5, 8), Calculate the length PQ  

Option A: 

$4\sqrt{11}$

Option B: 

$4\sqrt{10}$

Option C: 

$2\sqrt{17}$

Option D: 

$2\sqrt{13}$

waecmaths solution: 

$\begin{align}  & P({{x}_{1}},{{y}_{1}})=(1,2) \\ & Q({{x}_{2}},{{y}_{2}})=(5,8) \\ & d=\sqrt{{{({{x}_{2}}-{{x}_{1}})}^{2}}+{{({{y}_{2}}-{{y}_{1}})}^{2}}} \\ & d=\sqrt{{{(5-1)}^{2}}+{{(8-2)}^{2}}} \\ & d=\sqrt{{{4}^{2}}+{{6}^{2}}} \\ & d=\sqrt{16+36}=\sqrt{52}=\sqrt{13\times 4}=2\sqrt{13} \\\end{align}$

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