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

One of the corners of a right-angled triangle is 60 degrees, and the sum of the hypotenuse and the smaller of the legs is 26.4 cm, find the hypotenuse of the triangle.

Solution:
1) What is the magnitude of the second acute angle of a right-angled triangle, if it is known that one of the angles is 60 degrees, the magnitude of the right angle is 90 degrees, and the sum of the values ​​of the three angles in the triangle is 180 degrees?
180 – (90 + 60) = 30 (degrees).
2) How many parts of the sum of the hypotenuse and the smaller of the legs do they make if it is known that opposite the smaller angle lies the smaller leg and that opposite the angle of 30 degrees lies the leg, half the size of the hypotenuse?
1 + 2 = 3 (parts).
3) What is the length of the smaller leg of the triangle if it is known that the sum of the hypotenuse and the smaller of the legs is 26.4 cm?
26.4: 3 = 8.8 (cm).
4) What is the length of the hypotenuse of the triangle?
8.8 ∙ 2 = 17.6 (cm).
Answer: The length of the hypotenuse of the triangle is 17.6 cm.