Given:
the pair of triangles are similar
So, the corresponding sides are proportions
As shown, the corresponding hypotenuses = 10 and 5
And the corresponding legs are = n and 3
so, we have the following ratio:
[tex]\frac{10}{5}=\frac{n}{3}[/tex]
Using the cross multiplication:
[tex]n=\frac{3\cdot10}{5}=\frac{30}{5}=6[/tex]
So, the answer will be n = 6
