Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔABC, points E and F are on sides AB and AC respectively such that 4 AE = 3AB and 3AF= 3AC. If BC = 20 cm, then what is the length of EF (in cm) ?

Options:

10

12

15

18

Correct Answer:

15

Explanation:

4 AE = 3AB

AE : AB = 3 : 4

and 4AF= 3AC

AF : AC = 3 : 4

Similarly ,

EF : BC = 3 : 4

According to question,

4R = 20

1R = 5

EF = 3R

= 3 × 5 = 15

The correct answer is option (3) : 15