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The 'slant height' of a regular pyramid is best described as the:
ALength of any lateral edge from base to apex
BPerpendicular distance from the apex to the centre of the base
CHeight of a triangular lateral face, measured from base edge to apex
DSum of the lengths of two adjacent base edges
Answer & Solution
Correct answer: C. Height of a triangular lateral face, measured from base edge to apex
1. The lateral edge runs from a base vertex to the apex; that is not the slant height.
2. The perpendicular from the apex to the centre of the base is the pyramid's height, not the slant height.
3. The slant height is the altitude of one triangular face, drawn from the midpoint of a base edge to the apex.
4. In a regular pyramid all such face altitudes are equal.
5. Hence slant height is the height of a lateral face.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7-8 (pp 180-199, 2019 ed.)._
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