One of the corners is rectangular. the tr-ka is 60 degrees, and the difference between

One of the corners is rectangular. the tr-ka is 60 degrees, and the difference between the hypotenuse and the smaller leg is 15 cm.Find the hypotenuse

Since the triangle ABC is rectangular, and one of the angles is 600, the angle CAB = 180 – 90 – 60 = 30.

In the triangle, opposite the smaller angle, the smaller side of the triangle lies, then the smaller leg BC lies opposite the angle 30.

By the condition BC = AB – 15.

Since BC lies against an angle of 30, BC = AB / 2.

Let’s equate both expressions.

AB – 15 = AB / 2.

2 * AB – 30 = AB.

AB = 30 cm.

Answer: Hypotenuse AB = 30 cm.