In the given figure, ABC is a triangle, DE is parallel to BC and ADDB=32. [4 MARKS] i) Determine the ratios ADAB,DEBC ii) Prove that ΔDEF is similar to ΔCBF. Hence, find EFFB iii) What is the ratio of the areas of ΔDEF and ΔBFC??

In the given figure, ABC is a triangle, DE is parallel to BC and ADDB=

1.	In the given figure, ABC is a triangle, DE is parallel to BC and ADDB=32. [4 MARKS] i) Determine the ratios ADAB,DEBC ii) Prove that ΔDEF is similar to ΔCBF. Hence, find EFFB iii) What is the ratio of the areas of ΔDEF and ΔBFC??
Answer» In the given figure, ABC is a triangle, DE is parallel to BC and $\frac{A D}{D B} = \frac{3}{2}$ . [4 MARKS] i) Determine the ratios $\frac{A D}{A B}, \frac{D E}{B C}$ ii) Prove that $Δ D E F$ is similar to $Δ C B F$ . Hence, find $\frac{E F}{F B}$ iii) What is the ratio of the areas of $Δ D E F$ and $Δ B F C$ ??