Answer:
a = 28, b = 12, c = 9
Step-by-step explanation:
The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).
Set up proportions.
[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]
Next, find b.
[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]
Finally,
[tex]c=21-b=21-12=9[/tex]
