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MC II B 2.29 Question

 
 
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Re: MC II B 2.29 Question
by David Reynoso - Thursday, 27 September 2018, 11:08 AM
 

Not necessarily. For example, take $P$ the midpoint of $AD$ and $Q$ to be the midpoint of $AB$. Then $\triangle APQ$ has perimeter $$\frac{1}{2}+\frac{1}{2} + \frac{\sqrt{2}}{2} = \frac{2+\sqrt{2}}{2}\approx 1.7$$