Final answer:
To find the value of x in similar triangles, we would set up a proportion based on corresponding sides. Without knowing which sides correspond to x or the sides of the other triangle, we cannot solve for x. The additional context provided in the question seems irrelevant without more information.
Step-by-step explanation:
The student's question involves finding the value of an unknown side (x) in a set of similar triangles. Since similar triangles have proportional sides, we can set up proportions based on the given side lengths to find the missing value. There appears to be a typo or irrelevant information about angles and moon sizes, which we will ignore since it's not relevant to the given side lengths of the triangles.
Unfortunately, the vital information needed to solve the problem directly is not complete. We have three side lengths, but without knowing which sides correspond to the side represented by x, we cannot form a proportion. To find the value of x in similar triangles, one would typically use the ratio of the corresponding sides.
For example, if we knew which sides correspond to the similar sides of another triangle, we could set a ratio like:
7cm / x = 10cm / corresponding side of the second triangle (not given)
From this proportion, we could solve for x using cross multiplication. However, without the complete information, we cannot perform the calculation.