SOLUTION: Show that the triangle with vertices (-4,-3), (√27, -√48) and (4,3) is equilateral.

We use the distance formula on all three sides to show
that all the sides have the same length.

Distance from (-4,-3), (√27, -√48)

 

 















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Distance from (-4,-3) to (4,3)

 

 











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Distance from (4,3) to (√27, -√48)

 

 















All three sides are equal to 10, so the triangle is equilateral.

Edwin