In the rectangle ABCD ∠ACD = 60 ° AD = 3 cm.Find the perimeter of the rectangle

univerkov | July 4, 2021 | education

Consider a triangle ACD, angle CDA = 90 (according to the problem statement), then:

| CD | = | AD | * tg (ACD) = 3 * tg (60) = 3 * √3.

The perimeter P of the rectangle will be:

P = 2 * (| CD | + | AD |) = 2 * (3 + 3 * √3) = 6 * (1 + √3).

Answer: the desired perimeter is 6 * (1 + √3).

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