Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

Observe the above figure and answer the question.

The length of AB is:

Options:

149 cm

12 cm

13 cm

\(\sqrt {149}\)

Correct Answer:

\(\sqrt {149}\)

Explanation:

In Δ ADC, \(\angle\)D =90°

By using pythagoras theorem:

AC2 = AD2 + DC2

AC2 = 62 + 82 = 36 + 64 = 100

AC = 10 cm

In Δ ACB, \(\angle\)C =90°

By using pythagoras theorem:

AB2 = AC2 + CB2

AB2 = 102 + 72 = 100 + 49 = 149

AB = \(\sqrt {149}\) cm