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26 September, 10:21

A pyramid composed of four equilateral triangles, called a tetrahedron, has a one-side length of 5 meters. What is its surface area? Round the answer to the nearest tenth.

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  1. 26 September, 10:47
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    The area of an equilateral triangle is (1/2) bh. The base is 5, so using the Pythagorean theorem we get h by:

    5² = (5/2) ² + h²

    h = √18.75

    h = 4.33

    So the area of one face is (1/2) (5) (4.33) = 10.825m²

    The total area is 4 (10.825m²) = 43.3m²
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