Answer
The large triangle is 1.5 times of the small triangle.
The small triangle is (1/1.5) or (2/3) of the large triangle.
Explanation
The solution of this question applies the rule of similar triangles.
The larger triangle has height 8 cm and base length 12 cm.
The smaller triangle has height 6 cm and base length 9 cm.
The similar triangle principle is then given as
[tex]\begin{gathered} \frac{Height\text{ of the large triangle}}{Height\text{ of the small triangle}}=\frac{Base\text{ length of the large triangle}}{Base\text{ length of the small triangle}} \\ \text{Substituting the values for these} \\ \frac{8}{6}=\frac{12}{9} \\ \text{Cross multiply} \\ 8\times9=12\times6 \\ 72=72 \end{gathered}[/tex]So, the reduction can be given through the ratio of the heights or the base lengths of the triangles.
[tex]\frac{8}{6}=\frac{12}{9}=\frac{3}{2}=1.5[/tex]Hence, the large triangle is 1.5 times of the small triangle.
The small triangle is (1/1.5) or (2/3) of the large triangle.
Hope this Helps!!!
