Sainik School Entrance Exam 2021 Solved Paper

Question : 6 of 150

Marks: +1, -0

The lengths of the diagonals of a rhombus are

16 {\cm}

and

12 {\cm}

respectively. Find the length of each of its sides.

Solution:

(b) In rhombus

A B C D

,
Diagonal

(A C)=12 {\cm}

and diagonal

(B D)=16 {\cm}

△ A O B

A O=6 {\cm}, O B=8 {\cm}, A B=

?
Using Pythogoras theorem -

A B^2=A O^2+O B^2

⇒ A B^2=6^2+8^2=36+64=100

∴

A B=√{100} ⇒A B=10 {\cm}

So, the length of each side is

10 {\cm}

.
[Each side is equal in a rhombus)

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