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Question

If the diagonals of a rhombus are 24 cm and 10 cm, then its perimeter =____cm.


A

48

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B

52

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C

60

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D

80

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Solution

The correct option is B

52




We know diagonals of a rhombus bisect each other at 90

Let AC=24cmAO=OC=12cmBD=10cmBO=OD=5cm

In AOB,AB2=122+52

= 132 (5-12-13 Pythagoras Triplet)

AB=13cm

Perimeter of rhombus = 4(13)

= 52cm

Hence (B)


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