The sides of a 30-60-90 triangle can be found using a ratio of 1:√3:2. In the triangle in the image, the side opposite the 60° angle is 20 inches, so the other two sides are 10 inches and 17.32 inches.
The triangle in the image is a 30-60-90 triangle, which means that its sides have a ratio of 1:√3:2. We are given that the side opposite the 60° angle (BC) is 20 inches. We can use the ratio to find the lengths of the other two sides:
The side opposite the 30° angle (AB) is half the length of the hypotenuse (BC), so AB = 20 inches / 2 = 10 inches.
The hypotenuse (AC) is √3 times the length of the shorter side (AB), so AC = √3 * 10 inches = 10√3 inches (approximately 17.32 inches).
Therefore, the exact measures of the other two sides of the triangle are 10 inches and 17.32 inches.