by CLAIRE SUN - Wednesday, September 26, 2018, 5:09 PM

Isn't the perimeter of APQ always bound to be larger than 2 units?

Re: MC II B 2.29 Question

by David Reynoso - Thursday, September 27, 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 $$\frac{1}{2}+\frac{1}{2} + \frac{\sqrt{2}}{2} = \frac{2+\sqrt{2}}{2}\approx 1.7$$

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