Final answer:
To find the length of XY, set up a proportion using the given ratio and solve for XY. The length of XY is 15 units.
Step-by-step explanation:
To find the length of XY, we can set up a ratio using the given information. The ratio of the lengths of the sides of the two triangles is 5:3. This means that the ratio of the length of BC to the length of XY is also 5:3. We can set up the following proportion:
BC / XY = 5 / 3
Substituting BC = 25, we can solve for XY:
25 / XY = 5 / 3
Cross multiply and solve for XY:
3 * 25 = 5 * XY
75 = 5 * XY
XY = 15
Therefore, the length of XY is 15 units.
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