We will find the value of m as follows:
*Since we have that the triangles contained are similar (by theorem), then the following is true:
[tex]\frac{5}{3+6+3}=\frac{m}{6+3}[/tex]
Now, we solve for m:
[tex]\frac{5}{12}=\frac{m}{9}\Rightarrow m=\frac{9\cdot5}{12}\Rightarrow m=\frac{15}{4}\Rightarrow m=3.75[/tex]
So, the measure of m is 3.75 units.
