In a rectangle, the diagonal divides the angle in the ratio 1-2, the smaller side is 5 cm, find the diagonals of the rectangle.

The diagonal divides the right angle in a ratio of 1: 2.

The right angle is 90 °, divided into 1 + 2 = 3 parts.

One part is 30 °, the other 60 °.

The smaller side of the rectangle lies opposite a 30 ° angle and is the leg.

The diagonal of a rectangle is the hypotenuse of a right triangle.

Therefore, it is equal to 2 * 5 cm = 10 cm.

The diagonals of the rectangle are equal, both are 10 cm.

Answer: 10 cm.

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