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Question

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

A

16 cm

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B

15 cm

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C

20 cm

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D

17 cm

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Solution

The correct option is A (15 cm)

Given, diagonals of a rhombus are 18 cm and 24 cm.

We know that the diagonals of a rhombus bisect each other at right angles.

AO=OC=242=12 cm
BO=OD=182=9 cm
Consider right-angled triangle ΔAOB,
From pythagoras theorem, we have
AB2=AO2+BO2
=(12)2+(9)2
=144+81
AB2=225
AB=(15)2
AB=15 cm
Hence, the measure of each side of given rhombus is =15 cm


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