A triangle \( ABC\) with sides \( AB = 20; \space BC = 16; \space CA = 4\sqrt{17} \). Point \( D, \space E, \space F\) are the midpoints of \( BC, \space CA,\space AB \) respectively. Point \( P \) lies on segment \( EF\), so that \( AP \) and \( EF\) are perpendicular to each other. Point \(Q\) also lies on \(EF\), so that \( DQ\) and \(EF\) are perpendicular to each other. Find the length of \(PQ\).

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It should be \(3 \sqrt{\frac{35}{2}}\), but from the source problem, it's not. But i still sitck to \(3 \sqrt{\frac{35}{2}}\). – Jason Chrysoprase · 1 month, 3 weeks ago

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– Fidel Simanjuntak · 1 month, 3 weeks ago

No, I think it's an integer. Check your LINELog in to reply