Answer:
To find the length of XY, we can use similar triangles. Since XZ is parallel to BC, triangles AZM and XBM are similar.
The ratio of corresponding sides in similar triangles is equal. Therefore:
\[ \frac{AZ}{XB} = \frac{ZC}{MC} \]
Substitute the given values:
\[ \frac{3}{XB} = \frac{2}{5} \]
Cross-multiply to solve for XB:
\[ 5 \times 3 = 2 \times XB \]
\[ 15 = 2 \times XB \]
\[ XB = \frac{15}{2} \]
So, the length of XY is \( \frac{15}{2} \) cm.
