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 $PQ$ .

#Geometry

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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 - 3 years, 11 months ago

No, I think it's an integer. Check your LINE

Fidel Simanjuntak - 3 years, 11 months ago

Ahmad Saad - 3 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$