Question

In quadrilateral ABCD, BC is the diagonal, DO is perpendicular to BC, and CX is perpendicular to AB.
AB = 25 cm, BC = 16 cm, CX = 8 cm, and DO = 5 cm, find the area of the quadrilateral.
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Answer 1

Answer:

Correct option is

A

square

ΔAOB,ΔAOD

DO=OD ( mid point )

AO=OA (common side)

∠AOB=∠AOD (right angle )

So ΔAOB,ΔAOD

So AB=AD

And ∠ABc=∠ADC=90

0

Similarly AB=BC=CD=AD can be proved that ABCD is a square