Question

check whether the coordinates (0,0),(3,root 3)and (0,2root3) form an equilateral triangle

Answer 1

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Let the ponts be A(0,0),B(3,√3)and (0,2√3).

Distance:

$d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

AB=√3²+(√3)³=√9+3=√12 units.

BC=√3²+(√3-2√3)²=√9+3=√12 units.

AC=√0²+(2√3)²=√4(3)=√12 units.

: The given points form an equilateral triangle.

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