The hypotenuse of a right-angled triangle is 8 cm, and one of the corners is 60 degrees. Find the legs of the triangle

As we know from the school geometry course, the legs of a right-angled triangle can be calculated through the product of the hypotenuse and the corresponding trigonometric function.

Let’s determine what the leg, which is located opposite an angle of 60 °, will equal, if from the condition of our problem we know for sure that the length of the hypotenuse is 8 centimeters:

sin 60 ° = √3 / 2;

8 * √3 / 2 = 4√3.

Let’s determine what the leg will be equal to, which will be adjacent to this corner:

cos 60 ° = 1/2;

8 * 1/2 = 4.

Answer: 4 and 4√3.