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- 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?

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- waheguru

- chestercat

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- 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

|dw:1364141029806:dw|

- waheguru

Yes

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- waheguru

Can you explain with the co-ordinates I have placed because the slopes are not negative reciporicals?

- 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

Ok, but Im supposed to prove that it is a right triangle by the slopes?

- anonymous

|dw:1364141234813:dw|

- 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

line A to C have infinite slope

- anonymous

C to B has 0 slope

- anonymous

which are reciprocal

- waheguru

SO my slopes are acuually negaitve reciporicals? 10/0 and 0/-24

- anonymous

yep

- anonymous

zero slope is horizontal, infinite slope is vertical. if they intersect, then by definition they would be at right angles, yeah?

- waheguru

Thankyou

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