Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In triangle of ABC, the bisector of angle BAC cuts the side BC at D. If AB = 10cm, and AC = 14 cm, then what is BD : BC ?

Options:

10 : 7 

5 : 7

7 : 5

7 : 10 

Correct Answer:

5 : 7

Explanation:

According to the concept,

\(\frac{AB}{AC}\) = \(\frac{BD}{DC}\)

⇒ \(\frac{10}{14}\) = \(\frac{BD}{DC}\)

⇒ \(\frac{5}{7}\) = \(\frac{BD}{DC}\)

So, BD : DC = 5 : 7

Therefore, the answer is 5 : 7