The hypotenuse of a right-angled triangle is 10 cm, one of the corners is 60 °. Find the legs of this triangle.

As we know from the current geometry course, the sine of an angle is the ratio of the opposite leg to the hypotenuse, and the cosine is the adjacent one.

Let us determine through what number of centimeters it is possible to represent the leg, which lies opposite an angle of 60 °, when from the condition of the task we know that the hypotenuse is equal to ten centimeters:

sin 60 ° = √3 / 2;

10 * √3 / 2 = 5√3.

Let us determine through what number of centimeters it is possible to imagine a leg, which will be adjacent to a 60 ° angle:

cos 60 ° = 1/2;

10 * 1/2 = 5.

Answer: 5 and 5√3.