One of the corners of a right-angled triangle is 60, and the sum of the hypotenuse

One of the corners of a right-angled triangle is 60, and the sum of the hypotenuse and the smaller leg is 30 cm.Find the hypotenuse of the triangle.

Since one of the corners of a right-angled triangle is 60 °, the second angle is 90 – 60 = 30 °.

The smaller leg of a right-angled triangle is opposite to a smaller angle, that is, an angle of 30 °, which means that the length of this leg is 1/2 the length of the hypotenuse.

Let’s denote the length of the smaller leg by the letter x and get the following equation:

x + 2 * x = 30,

3 * x = 30,

x = 10 (cm).

Answer: 10 cm.