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Let the vertices of the triangle be , , and .
Each two vertices form a line segment.
Find the slopes of three sides of the triangle.
The formula for slope is .
Find the slope of .
Substitute for , for , for and for in .
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Find the slope of .
Substitute for , for , for and for in .
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Find the slope of .
Substitute for , for , for and for in .
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Observe the three side slopes are , , and .
Perpendicular lines slopes are negative reciprocals to each other.
Therefore, the sides of the triangle and are perpendicular.
Perpendicular lines intersect at right angles to one another.
is a right angle triangle.
Thus, , , and are vertices of right triangle.
, , and are vertices of right triangle.
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