Given a rectangle ABCD, side AB = 12cm. diagonal BD makes an angle with side AB 60 degrees

Given a rectangle ABCD, side AB = 12cm. diagonal BD makes an angle with side AB 60 degrees, how to find what is the diagonal?

Triangle ABD – rectangular (with right angle A). If there is an angle equal to 60 ° in a right-angled triangle, then the leg adjacent to it is half the hypotenuse. If the angle ABD is 60 °, then the adjacent leg AB is equal to half of the hypotenuse BD:

BD = 2 * AB;

BD = 2 * 12;

BD = 24 cm – the diagonal of the rectangle.

Answer: 24 cm