Question

Without using distance formula show that
the points (4,3) (6,4) (5,6) and (3,5) are the
vertices of a rectangle.
plzzzz reply..for my assignment ​

Answer 1

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Prove that (4,3),(6,4),(5,6...

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Asked on November 22, 2019 by

Hajra Kiran

Prove that (4,3),(6,4),(5,6) and (3,5) are the angular points of a square.

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ANSWER

Let A(4,3),B(6,4),C(5,6),D(3,5)

So by distance formula we have,

Distance between two points =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

AB=

(4−6)

2

+(3−4)

2

=

5

BC=

(6−5)

2

+(4−6)

2

=

5

CD=

(5−3)

2

+(6−5)

2

=

5

DA=

(3−4)

2

+(5−3)

2

=

5

AC=

(5−4)

2

+(6−3)

2

=

10

BD=

(6−3)

2

+(4−5)

2

=

10

All sides are equal and diagnols are equal , the given points are angular

points of a square