Question

What are the lengths of two sides of a special right triangle with a 30° 60° 90° angle configuration and a hypotenuse of 10?

a) 5, 5√3
b) 5√3, 10
c) 5, 10
d) 5, 5

Answer 1

The lengths of the sides of the special right triangle with a 30° 60° 90° angle configuration and a hypotenuse of 10 are 5√3 and 10.

Step-by-step explanation:

In a 30° 60° 90° triangle, the side lengths are proportional to 1, √3, and 2. Since the hypotenuse is 10, the length of the shortest side (opposite the 30° angle) is 5, and the length of the longer side (opposite the 60° angle) is 5√3. Therefore, the correct answer is (b) 5√3, 10.