The missing side of similar triangle is 40.
The rule of similarity state that, corresponding angles of both triangle are equal and corresponding sides are in the proportion.
So that, from given figure,
Ratio of corresponding sides are,
[tex]\frac{x}{25}=\frac{24}{15} \\\\x*15=24*25\\\\x=\frac{24*25}{15}=40[/tex]
Thus, the missing side of similar triangle is 40.
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