Height over Inradius

★ 6/10solid geometry Triangle Geometry Symmetry

Problem

In a regular triangular pyramid, the cosine of the dihedral angle between a lateral face and the base is $\dfrac 16$ . Find the ratio of the height $h$ of the pyramid to the radius $r$ of its inscribed sphere.

Answer

Solution

Difficulty	6/10
Topics	solid geometry, Triangle Geometry, Symmetry

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