Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

A circle touches all four sides of a quadrilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm, then what is the length of RS?

Options:

9 cm

7.3 cm

7 cm

15 cm

Correct Answer:

9 cm

Explanation:

We know that,

If a circle touches all four sides of quadrilateral PQRS then, 

PQ + RS = SP + RQ

So, according to the question,

= 11 + RS = 8 + 12

= RS = 20 - 11

= RS = 9