The hypotenuse of a right-angled triangle is 50 cm, and the sin of one of the acute angles is 0.5. Find legs?

Let us determine what value the length of the leg will equal, which is located opposite the angle, whose sine is 0.5, if from the condition of our task we know for sure that the length of the hypotenuse is 50 cm:

50 * 0.5 = 25.

Now we can determine what value the length of the other leg will equal, using the Pythagorean formula known from the school curriculum:

√ (502 – 252) = √ ((50 – 25) * (50 + 25)) = √ (25 * 75) = 25√3.

Answer: The length of the first leg will be 25, and the other 25√3.