Right-angled triangle with a hypotenuse of 8 cm and an angle of 60 degrees Find the leg opposite this angle.
| February 26, 2021 | education
The length of the leg opposite to the angle is equal to the product of the length of the hypotenuse and the sine of this angle. Since the angle is 60 degrees, its sine is √3 / 2. Therefore, the length of the leg is:
8 cm * √3 / 2 = (8/2) * √3 = 4√3 cm.
Answer: the length of the opposite leg is 4√3 cm.
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