One of the acute angles of a rectangular triangle is 60 degrees, the leg adjacent to this angle is 6.5 cm.

One of the acute angles of a rectangular triangle is 60 degrees, the leg adjacent to this angle is 6.5 cm. Calculate the hypotenuse.

As we know from the current school curriculum in geometry, the cosine of an angle can be calculated through the ratio of the leg, which will be adjacent to this angle, and the hypotenuse.

Let’s find out through what number of centimeters the length of the hypotenuse of our geometric figure will be expressed, when from the condition of the task we know that the length of that adjacent leg is 6.5 centimeters, and the angle itself is 60 °:

cos 60 ° = 1/2;

6.5: 1/2 = 13.

Answer: Under these conditions, the hypotenuse will be 13 cm.