find the missing side length, m.

Answer:
[tex]m=6[/tex]
Step-by-step explanation:
The Two triangles are Similar, so using the property of the similar triangles.
[tex]\frac{m}{15} =\frac{4}{10}[/tex]
On cross multiplication of the fraction:
[tex]10*m=4*15[/tex]
[tex]10*m=60\\\\[/tex]
Dividing by '10' both the sides:
[tex]\frac{10m}{10}=\frac{60}{10}[/tex]
[tex]m=6[/tex]
So, the side(m) of the small triangle is '6'