Multiple Choice Questions

In a triangle ABC point D lies on AB and points E and F lie on BC suchthat DF is parallel to AC and ...........

Quantitative Aptitude (CGL) Geometry

In a triangle ABC, point D lies on AB, and points E and F lie on BC suchthat DF is parallel to AC and DE is parallel to AF. If BE = 4

cm, CF = 3 cm, then find the length (in cm) of EF.

This questions was previously asked in

SSC CGL 16th August 2021 Shift-2

1.5

- The setup involves a triangle ABC where specific points D, E, and F lie on lines AB and BC.

- DF is parallel to AC, and DE is parallel to AF, creating a smaller, similar triangle DEF within ABC.

- This similarity maintains the proportionality of corresponding line segments.

- Given BE = 4 cm and CF = 3 cm, we can find EF using the proportionality property.

- In similar triangles, the ratio of corresponding sides is equal. Since DE || AF and DF || AC, triangle DEF is similar to triangle ABC.

- The ratio of BE to CF can be used to find EF using cross-multiplication since EF corresponds to part of BC.

- Therefore, using the ratio 4:3, EF = 2 cm, maintaining the property's equality.

Option 3: 2 cm is the correct answer.

Submit Error