Concept explainers
To check: Whether the slant height of a regular pyramid can be greater than the length of a lateral edge or not.
Answer to Problem 17CE
No, the slant height of a regular pyramid cannot be greater than the length of a lateral edge.
Explanation of Solution
In a face of the regular pyramid, the slant height is the perpendicular distance from the vertex to the base of the face.
The perpendicular distance is always shorter than all other distances and in the same face the lateral edge is not the perpendicular distance.
Therefore, the slant height of a regular pyramid cannot be greater than the length of a lateral edge.
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