A regular triangular prism is given. A1A = 7cm. Side = 63cm². You need to find one side of the base.

univerkov | February 3, 2021 | education

Since the prism is correct, an equilateral triangle lies at its base, AB = BC = AC, and since the lateral edges of the prism are equal, the areas of the lateral faces of the prism are also equal.

Then Sside = 3 * Sface.

Sside = Sside / 3 = 63/3 = 21 cm2.

Sface = AC * AA1 = AC * 7 = 21.

AC = BC = AB = 21/7 = 3 cm.

Answer: The side of the base is 3 cm.

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