Math, asked by GourammaBiradar, 19 days ago

plz guys give the
answer
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Answers

Answered by umerau280
0

By the points given in the graph they are equally join so the sides are equal that's way it is a square

Answered by sumellikaagnisha
2

Complete step-by-step answer:

To know who is correct we have to find the distan

Let's first write coordinates of the points

A,B,C and D.

A(3,4), B(6,7), C(9,4), D(6,1).

First is the x coordinate and second is the y

coordinate.

We need to find distance AB,BC,CD,DA.

These are four sides of that observed

square.

So first find distance between AB.

d = \sqrt{(x₂ - x₁)²+ (y2 − y1) ²}

d(AB) =\sqrt {(6 − 3)² + (7 − 4)²} A(3,4)

and B(6,7)

  = \sqrt{ 3² + 3²}

 =  \sqrt{ 9+9} \\ = \sqrt { 18} \\= 3 \sqrt2

Similarly find distance between BC,CD and

DA.

d(BC) = \sqrt{(96)²+(47)² }B(6,7)and C(9,4)

  = \sqrt{3²+(-3)²} \\   =  \sqrt{9+9} \\ = \sqrt{18} \\  = 3 \sqrt{ 2}

d(CD) =  \sqrt{(69)² + (1 – 4)² }C(9,4)and D(6,1)

  = \sqrt{3²+(-3)²} \\   =  \sqrt{9+9} \\ = \sqrt{18} \\  = 3 \sqrt{ 2}

d(DA) =  \sqrt{(3 − 6)² + (4 − 1)² }D(6,1) \: and \: A(3,4)

  = \sqrt{3²+(-3)²} \\   =  \sqrt{9+9} \\ = \sqrt{18} \\  = 3 \sqrt{ 2}

Now we can see

d(AB) = d(BC) = d(CD) = d(DA)\\= 3√2

This shows all four sides are equal. Thus concludes that Champa was right. ABCD is a square.

hope it helps you

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