The length of the sides of the smaller triangles is 2, 2, and4.
The smallest length of the smaller triangle is: 2
The length of the largest side of the given small triangle is: 4
The smallest length of the big triangle is: 8
The small triangle and the large triangle are similar triangles. The ratio of corresponding sides of similar triangles is equal.
[tex]\begin{gathered} \frac{Small\text{ side of small triangle}}{\text{Small side of big triangle}}=\frac{Large\text{ side of small triangle}}{\text{Largest side of big triangle}} \\ \frac{2}{8}=\frac{4}{\text{Largest side of big triangle}} \\ \text{Largest side of big triangle}=4\times\frac{8}{2} \\ =16 \end{gathered}[/tex]Thus, the length of the largest side of the big triangle is 16.
