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Geometry

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 \(PQ\).

Note by Fidel Simanjuntak
1 month, 3 weeks ago

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Ahmad Saad · 1 month, 3 weeks ago

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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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@Jason Chrysoprase No, I think it's an integer. Check your LINE Fidel Simanjuntak · 1 month, 3 weeks ago

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