Respuesta :

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'