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Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.
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Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge.

User Geekonaut
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1 Answer

6 votes
If s represents the edge length of the base, the lateral area is given by
A = (1/2)*(3s)*(k)
We can substitute the given numbers and solve for s.
198 cm² = (1/2)*(3s)*(12 cm)
(198 cm²)/(18 cm) = s
s = 11 cm

The length of a base edge is 11 cm.
User Elise Van Looij
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6.9k points
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