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If h is the length of the perpendicular ...

If `h` is the length of the perpendicular drawn from a vertex of a regular tetrahedron

Text Solution

Verified by Experts

EC=5/2
AE=`sqrt3/2`
`C'E=1/3AE=5/(2sqrt3)`
`C C'=5/sqrt3`
`h^2+s^2/3=S^2`
`h^2=(2S^2)/3`
`S^2=(3H^2)/2`.
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