Question

abcd is a rhombus whose diagonals ac and bd intersect at o, then find angle AOB

Answer 1

Answer:

According to quesion,

AB=10,  BD=16

From figure,

AO+OC=AC

&  AO=OC

=> 2AO=AC

In △AOB, from pythagorous

AB  

2

=AO  

2

+BO  

2

 

=>  100=64+AO  

2

 

=> AO=6

Since, AC=2OA,

Hence, AC=12cm

 

solution