Question

ABCD is a square. AC and BD meet at O. If the area of ∆ OAB is 31

2

sq. units., then the area of the

square ABCD is​

Answer 1

Answer:

In □ ABCD,

The diagonal AC bisect the ∠ACB and ∠BAD.

Also, the diagonal BD bisects ∠ADC and ∠ABC.

∴ m(∠OAB)=

2

90

=45

o

and m(∠OBA)=

2

90

=45

o

In △AOB,

m(∠AOB)+m(∠OAB)+m(∠OBA)=180

o

⟹m(∠AOB)+45

o

+45

o

=180

o

∴m(∠AOB)=90

o

Step-by-step explanation:

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