SOLUTION: Show in two ways that the points (6,1), (2-3), and (4-5) are the vertices of a right Triangle . //help me please . Thanks :)

Question 981367: Show in two ways that the points (6,1), (2-3), and (4-5) are the vertices of a right Triangle .
//help me please . Thanks :)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You meant (6,1), (2,-3), and (4,-5), which indeed are the vertices of a right triangle.

ONE WAY:
Show that the line connecting (6,1) and (2,-3) has a slope of .
Show that the line connecting (4,-5) and (2,-3) has a slope of .
Since the product of the slopes is , the lines are perpendicular,
so the triangle has a right angle at (2,-3).
The slope the line connecting and is

The slope the line connecting and is

ANOTHER WAY:
Show that the lengths of the sides satisfy the Pythagorean theorem:

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