Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Asha and Suman’s mud forts have heights 9 cm and 16 cm.If the fort tops are at 25 cm apart from each other, then the distance (in cm) between two forts is:

Options:

24

16

25

7

Correct Answer:

24

Explanation:

By pythagoras theorem

\( { AB}^{2 } \) + \( { BE}^{2 } \) = \( { AE}^{2 } \)

= \( { 7}^{2 } \) + \( { x}^{2 } \) = \( { 25}^{2 } \)

= \( { x}^{2 } \) = 625 - 49

= x = \(\sqrt {576 }\)

= x = 24

Therefore, the distance between forts is 24 cm.