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If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to
Question

If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to

A.

16 cm

B.

15 cm

C.

20 cm

D.

17 cm

Correct option is B

Given: The diagonal of a rhombus are 18 cm and 24 cm respectively.
Solution:
The diagonals of a rhombus bisect each other at right angles (90°).
This means that each diagonal is divided into two equal halves.
Diagonal 1 = 18 cm → Each half = 9 cm
Diagonal 2 = 24 cm → Each half = 12 cm
Each side of the rhombus forms the hypotenuse of a right-angled triangle, So
s2=92+122s^2 = 9^2 + 12^2
s2=81+144s^2 = 81 + 144
s2=225s^2 = 225
s=225=15 cms = \sqrt{225} = 15 \text{ cm}
The side of the rhombus is 15 cm.
Thus, the correct answer is (b).​​

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