Question

The diagonals of the rhombus are 30 cm and 40 cm long . find its sides

Answer 1

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♣️Refer To Attachment ♣️

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Answer 2

Step-by-step explanation:

here

the side of a rhombus will be 25cm

Explaination

Let Take one of the triangle formed by the rhombus

Here

Let name it as triangle OAB. (Assuming O as a point of intersection by the diagonal)

Here

OA = 30/2= 15

and OB = 40/5= 20

Now we know that diagonal bisect each other at 90 degree

So the triangle so formed is a right angle triangle

By applying Pythagoras theoram

we have

(AB) ^2= (OB) ^2+(OA) ^2

=> (AB) ^2= (15)^2+ (20)^2

=> (AB) ^2= 225+400

=>(AB) ^2= 625

=> AB =√625

=> AB = 25

SO the side of a rhombus is 25cm

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