To solve for the unknown side in a right-angled triangle, use the trigonometry. The length of the unknown side is approximately 5.8 cm.
In this case, we are given the length of the base (9 cm) and the angles of the triangle (41 and 49 degrees). Since we know the base and one of the angles, we can use trigonometry to find the length of the other side.
Using the sine function, we can find the length of the side as follows:
Sin(41) = Opposite / Hypotenuse
Opposite = Sin(41) * 9 cm
Rounded to the nearest tenth, the length of the unknown side is approximately 5.8 cm.