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valentinak56 [21]
3 years ago
14

A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.

Mathematics
1 answer:
Olin [163]3 years ago
4 0
Octagon = 8-side polygon

<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²

<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m

Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m

Answer: Slanted Height = 5 m

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