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

Question

Mathematics

Madeleine Fisher

16 January, 12:43

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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Answers (1)

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Joyce Baxter · Answer 1

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.