Answer:
EF = 12 cm
Step-by-step explanation:
In similar triangles, the ratio of their sides are equal to each other. Now, we need to find out the correspondence between the sides:
It is clear from the side lengths that the sides AB and CA in triangle ABC correspond to the sides DE and FD in triangle DEF. The reason is the same ratio:
[tex]\frac{AB}{CA} = \frac{DE}{FD}\\\\\frac{10}{7} = \frac{20}{14}\\\\1.42 = 1.42[/tex]
Therefore, EF must be corresponding to BC. So, another ratio equation can be written as follows:
[tex]\frac{BC}{AB} = \frac{EF}{DE}\\\\\frac{6}{10} = \frac{EF}{20}\\\\EF = 6\ x\ 2\\[/tex]
EF = 12 cm
