The triangle formed by the points (3,5), (6,9), and (2,6) is

equilateral

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isosceles

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right-angled

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scalene

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Solution

The correct option is B isosceles
A = (3, 5), B = (6,9), C = (2, 6)
$A B^{2} = {(3 - 6)}^{2} + {(5 - 9)}^{2} = 25$
$B C^{2} = {(6 - 2)}^{2} + {(9 - 6)}^{2} = 25$
$A C^{2} = {(3 - 2)}^{2} + {(5 - 6)}^{2} = 2$
AB = BC

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