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Perpendicular from the Center to a Chord Bisects the Chord

ABCDEFGH is a...

Question

ABCDEFGH is a cuboid. Find AG.

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Solution

In $Δ A E G$
$A G^{2} = A E^{2} + E G^{2}$
$A G^{2} = 64 + 137$
$A G^{2} = 201$
$A G = \sqrt{201} = 14.17$ cm.

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