Question

The diagonals of a rhombus are 16 cm and 30 cm. Find the length of the side of the rhombus


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Answer 1

Step-by-step explanation:

Let ABCD is a rhombus

AB,BC,CD,AD are the sides of the rhombus and

AC and BD are the diagonals of the rhombus

Where

AC= 30

BD=16

and o is the point where daigonals are bisect each other

As we know the property of rhombus that daigonals are bisect each other then

AO=CO=15

BO=OD=8

Since diagonals are perpendicular to each other then we can apply Pythagoras theoram on it

By applying Pythagoras theoram on ∆AOD

AD^2=A0^2+OD^2

AD^2=15^2+8^2

AD^2=289

AD=17

Since all the sides of the rhoumbus are congruent

Hence of the side of the rhoumbus is 17cm