In a rectangle, the diagonal divides the angle in a ratio of 1: 2; its smaller side is 5 cm. Find the diagonals of a given triangle

The diagonal divides the right angle in a 1: 2 ratio.
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 10 cm.
Answer: 10 cm.