A right-angled triangle has a hypotenuse of 20 cm and one angle of 45°. What is the length of the side opposite the 45° angle?
Q1. A right-angled triangle has a hypotenuse of 20 cm and one angle of 45°. What is the length of the side opposite the 45° angle?
Answer: 10√2 cm
Explanation: The sine of 45° equals the ratio of the opposite side to the hypotenuse. Since sin(45°) = √2/2, the length is 20 * √2/2 = 10√2 cm, applying the formula sin(angle) = opposite/hypotenuse.