The side face of a regular triangular prism is a square with an area of 64 cm2

univerkov | June 29, 2021 | education

The side face of a regular triangular prism is a square with an area of 64 cm2 Calculate the perimeter of the base of the prism.

By condition, the side face of the prism is square, and its area is 64 cm2.

S = AC ^ 2 = 64.

AC = 8 cm.

Since the prism is correct, an equilateral triangle lies at its base, therefore, AB = AC = BC = 8 cm.

Let’s define the perimeter of the base.

P = AB + BC + AC = 8 + 8 + 8 = 24 cm.

Answer: The perimeter of the base of the prism is 24 cm.

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