The leg of a right-angled triangle is 8 cm, and the hypotenuse is 16 cm. What are the acute angles of this triangle?

As we know from the school curriculum in geometry, the sine of an angle in a right-angled triangle can be determined by using the ratio of the leg, which is opposite this angle, to the hypotenuse.

Let us find out what value will be equal to the sine of the angle, which is opposite the leg known from the condition of the problem:

8:16 = 1/2.

This sine corresponds to an angle of 30 °.

Therefore, the second acute angle in such a triangle will be equal to:

90 – 30 = 60.

Answer: Under these conditions, the angles will be 30 ° and 60 °.