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 leg is 42 cm. Find the length of the hypotenuse.

Since one of the angles is 60 degrees, the second is 30 degrees, which means that the leg lying opposite this angle, i.e. the smaller leg is equal to half the hypotenuse. Let the hypotenuse be x, then leg x / 2. => x + (x / 2) = 42 3x / 2 = 42 3x = 84 x = 28
Answer: 28