SarkariPYQ

SSC CHSL 2023 PYQ — Question 52

SSC CHSL - 10 Aug 2023 - Shift 3 • Quantitative Aptitude • Q52

Back to paper

If one diagonal of a rhombus is equal to its side, then the diagonals of the rhombus are in the ratio of:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e.  1:31:\sqrt3.

Let the side of the rhombus = a and one diagonal (d1) = a (Same length)

On applying Pythagoras' theorem, the second diagonal = √(4a2 - d12)

= √(4a2 - a2)

= √(3a2)

= √3a

Ratio of first and second diagonal = a : √3a = 1 : √3

The diagonals of the rhombus are in the ratio 1 : √3.