In the given figure, $$\triangle ABC$$ is similar to $$\triangle DEF$$ ; if AB = 6.5 cm , DE = 3.9 cm, and BC = 5.15 cm , find EF .

Correct option is B

Given:

​$$\triangle ABC \sim \triangle DEF$$​​

AB = 6.5 cm , DE = 3.9 cm, and BC = 5.15 cm

Formula Used:

If two triangles are similar the ratio of their corresponding sides are equal

Solution:

If $$\triangle ABC \sim \triangle DEF$$​​

Then $$\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}$$​​

Hence $$\frac{AB}{DE} = \frac{BC}{EF}$$​

​$$\frac{6.5}{3.9} = \frac{5.15}{EF}$$​​

​$$EF = \frac{3.9\times 5.15}{6.5} =3.09cm$$​​