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24 July, 03:55

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

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  1. 24 July, 06:22
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    Octagon = 8-side polygon

    Find area of 1 triangle:

    Area of one side triangle = 60 : 8 = 7.5 m²

    Given area and length, find height:

    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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