The triangle with vertices (1, 5); (- 3, 1) and
(3,5) is -
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A(4, 0), B(-1, -1), C(3, 5) are the vertices of a triangle. Then
AB2 = (-1-4)2 + (-1-0)2 = 26
BC2 = (3+1)2 + (5+1)2 = 52
CA2 = (4-3)2 + (0-5)2 = 26
This implies, CA2 + AB2 = BC2
Thus, the triangle is isosceles and right angle triangle.
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