Question

In a rhombus ABCD, diagonals AC and BD intersect at point O.If AB= 17cm and AO=4cm, then find the area of the rhombus.​

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