Question

the length of each side of rhombus whose diagonals are of length 10cm and 24cm is?​

Answer 1

Answer:

MARK ME BRAINLIEST

Explanation:

Diagonals meet at the centre and forms right-angled triangles. Hence the side of the rhombus is 13cm.

Answer 2

Answer:

Let ABCD be the rhombus where, AC=10cm and BD=24cm

Let AC and BD intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.

Thus, we have

AO=  

2

1

​

×AC=  

2

1

​

×10=5cm and  

BO=  

2

1

​

×BD=  

2

1

​

×24=12cm

In right angled △AOB,

⇒  (AB)  

2

=(AO)  

2

+(BO)  

2

 

⇒  (AB)  

2

=(5)  

2

+(12)  

2

 

⇒  (AB)  

2

=25+144

⇒  (AB)  

2

=169

∴  AB=13cm

∴  The length of each side of rhombus is 13cm.

Explanation: