Question

ABCD is a rhombus whose diagonals AC and BD intersect at O. If angle c= 110 degree find angle BDC

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

=> 100=64+AO

2

=> AO=6

Since, AC=2OA,

Hence, AC=12cm

I hope that you will find your answer

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