Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The side of a square is a cm. The ratio of its diagonal to its side is:

Options:

$\sqrt{2} : 1$

1 : 2

$1 : \sqrt{2}$

2 : 1

Correct Answer:

$\sqrt{2} : 1$

Explanation:

Let us consider that ,

Side of square = x

And diagonal = d

By using pythagoras theorem 

h² = p² + b²

d² = x² + x²

d² = 2x²

d = x√2

Now, ratio of its diagonal to its side is = x√2  : x

= √2  : 1