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A square pyramid has base edges 10 cm and lateral edges 13 cm. Its slant height is:
Answer & Solution
Correct answer: D.
1. On a triangular face the slant height is perpendicular to the base edge, halving it.
2. So the slant height, half a base edge (5 cm) and the lateral edge (13 cm) form a right triangle.
3. Slant height² + 5² = 13².
4. Slant height² = 169 - 25 = 144, slant height = 12 cm.
5. Hence the slant height is 12 cm.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7-8 (pp 180-199, 2019 ed.)._
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