Final answer:
To find the length of the side labelled x, use the sine function x = a * sin(b). Plugging in the values, x = 13 cm * sin(34 degrees). Evaluating this expression gives us x ≈ 7.04 cm.
Step-by-step explanation:
To find the length of the side labelled x, we need to use the given information. In this case, we have a triangle with one side labelled a, which has a length of 13 cm, and another side labelled b, which forms an angle of 34 degrees with side a. We can use trigonometry to find the length of side x. Since we have the length of side a and the measure of angle b, we can use the sine function: sin(b) = x/a. Rearranging the formula, we get x = a * sin(b). Plugging in the values, x = 13 cm * sin(34 degrees). Evaluating this expression gives us x ≈ 7.04 cm.