Given the figure in the attached image.
The scale factor of the triangles is;
[tex]\begin{gathered} f=\frac{10}{14} \\ f=\frac{5}{7} \end{gathered}[/tex]
Given that the area of the larger triangle is;
[tex]A_1=155ft^2[/tex]
The area of the smaller triangle would be;
[tex]A_2=A_1\times f^2[/tex]
substituting the given values;
[tex]\begin{gathered} A_2=155\times(\frac{5}{7})^2 \\ A_2=79ft^2 \end{gathered}[/tex]
Therefore, the area of the smaller triangle is;
[tex]79ft^2[/tex]
