Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The length of the diagonals of a rhombus is 40 cm and 60 cm. What is the length of the side of the rhombus ?

Options:

$50\sqrt{3}$ cm

$20\sqrt{3}$ cm

$10\sqrt{13}$ cm

$40\sqrt{13}$ cm

Correct Answer:

$10\sqrt{13}$ cm

Explanation:

The length of the diagonals of the rhombus = 40cm and 60 cm

Then the length of the rhombus = \(\sqrt { (\frac{d1}{2})^2 + (\frac{d2}{2})^2 }\)

= \(\sqrt { (\frac{40}{2})^2 + (\frac{60}{2})^2 }\)

= \(\sqrt { 400 + 900 }\)

= \(\sqrt { 400 + 900 }\) = $10\sqrt{13}$ cm