Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔABC, ∠A is a right angle.  The lengths of AC and BC are 9 cm and 15 cm respectively.  Point D is on AB such that BD = 6 cm, what is the length of CD?

Options:

9\(\sqrt {7}\)

9\(\sqrt {13}\)

3\(\sqrt {17}\)

3\(\sqrt {13}\)

Correct Answer:

3\(\sqrt {13}\)

Explanation:

CD2 = AD2 + AC2 

CD = \(\sqrt {36 + 81}\) = \(\sqrt {117}\)

=3\(\sqrt {13}\)