A B = ( 5 − 3 ) 2 + ( − 1 − ( − 4 ) ) 2 = 4 + 9 = 13 A C = ( 6 − 3 ) 2 + ( − 2 − ( − 4 ) ) 2 = 9 + 4 = 13 BC = ( 6 − 5 ) 2 + ( − 2 − ( − 1 ) ) 2 = 1 + 1 = 2
The triangle has exactly two sides of the same length, so it's isosceles triangle.
The triangle defined by the points A(3, -4), B(5, -1), and C(6, -2) is classified as isosceles, as two sides (AB and AC) have the same length of 13 .
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