waheguru
  • waheguru
I need to prove that A(-12, -5) B(12, 5) and C(-12, 5) Is a right triangle. I know two adjacent angles need to be perpendicular but the slopes are -10/0 and 0/-24 which are not negative reciprocals?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1364140978728:dw| in right triangle , the circle point will have cordinates that is same as x of one and y of another
anonymous
  • anonymous
|dw:1364141029806:dw|
waheguru
  • waheguru
Yes

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waheguru
  • waheguru
Can you explain with the co-ordinates I have placed because the slopes are not negative reciporicals?
anonymous
  • anonymous
A(-12, -5) B(12, 5) and C(-12, 5) C(-12,5) matches A's x coordinate matches B's y coordinate
waheguru
  • waheguru
Ok, but Im supposed to prove that it is a right triangle by the slopes?
anonymous
  • anonymous
|dw:1364141234813:dw|
anonymous
  • anonymous
you have 3 points, so you can find the slopes of the lines connecting all three. you can also use the points, and the slopes you have found, to find the equations of the lines.
anonymous
  • anonymous
line A to C have infinite slope
anonymous
  • anonymous
C to B has 0 slope
anonymous
  • anonymous
which are reciprocal
waheguru
  • waheguru
SO my slopes are acuually negaitve reciporicals? 10/0 and 0/-24
anonymous
  • anonymous
yep
anonymous
  • anonymous
zero slope is horizontal, infinite slope is vertical. if they intersect, then by definition they would be at right angles, yeah?
waheguru
  • waheguru
Thankyou

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