In a rectangular trapezoid, the acute angle is 45 degrees. The smaller side and the smaller base

In a rectangular trapezoid, the acute angle is 45 degrees. The smaller side and the smaller base are 10 cm each. Find the larger base.

The solution of the problem:
1. From corner C to the larger base, draw the top of the CК. Formed a right-angled isosceles triangle, KСD, since the angle C was divided into two angles, one of which is 90 degrees, and the other 45 degrees (the DCК angle of the KСD triangle = 45 degrees). Side AB = СК = 10 centimeters. Side СК = KD = 10 centimeters.
Side BC = AK = 10 centimeters. The larger base is equal to AK + KD. Let’s answer the question of the problem.
1. What is the larger base of the trapezoid?
10 + 10 = 20 cm.
Answer: The larger base is 20 centimeters.