Question

using the concept of slopes, prove that the diagonals of a rhombhus intersect each other at right angle.​

Answer 1

Answer: Given: Rhombus ABCD. Diagonals meet at O

In a rhombus, diagonals biects each other at a right angle.

hence, OA=OC=  

2

1

​

AC

OB=OD=  

2

1

​

BD

In △OBC,

OB  

2

+OC  

2

=BC  

2

 

(  

2

1

​

BD)  

2

+(  

2

1

​

AC)  

2

=BC  

2

 

BD  

2

+AC  

2

=4BC  

2

Step-by-step explanation: