In the rectangle ABCD, the diagonal is AC = 8 * √3cm and forms an angle of 30 °

univerkov | September 24, 2021 | education

In the rectangle ABCD, the diagonal is AC = 8 * √3cm and forms an angle of 30 ° with the larger side of the rectangle. find the sides of the rectangle.

Let AB be the large side of the rectangle ABCD, then the angle CAB = 30 degrees.
AB = AC * cos (30) = 8 * root (3) * root (3) / 2 = 12
BC = AC * sin (30) = 8 * root (3) / 2 = 4 * root (3)
Answer: the large side is 12 cm, the smaller side is 4 * root (3) cm.

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