Question

*"True or False. Sum of the squares of all the sides of a rhombus is equal to the sum of its diagonals."*

1️⃣ FALSE
2️⃣ True​

Answer 1

Answer:

True, We know that the diagonals of a rhombus bisect each other at right angles...In a rhombus , all sides are equal. Hence, it is proved

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Answer 2

Answer:

ANSWER

Inrhombus,diagonalbisectseachotherat90  

∘

 

∴∠AOB=∠BOC=∠COD=∠DOA=90  

∘

 

Also,AO=CO=  

2

1

​  

AC→(i)

andBO=DO=  

2

1

​  

BD→(ii)

InΔAOB,

AB  

2

=OA  

2

+OB  

2

 

=(  

2

1

​  

AC)  

2

+(  

2

1

​  

BD)  

2

 

=  

4

AC  

2

+BD  

2

 

4AB  

2

=AC  

2

+BD  

2

 

AB  

2

+BC  

2

+CD  

2

+DC  

2

=AC  

2

+BD  

2

proved.

solution

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