SOLUTION: 3 points of a triangle are given. Use the points to draw the triangle, then use the slope formula to determine if any of the triangles are right triangles. (0,0) (-5,2) (2,-5) *I

Question 1027175: 3 points of a triangle are given. Use the points to draw the triangle, then use the slope formula to determine if any of the triangles are right triangles.
(0,0) (-5,2) (2,-5)
*I have done this problem over 10 times and can't figure out if it's a right triangle or not, I have to answer it correctly by tomorrow for class so if someone can please tell me if it forms a right triangle or not I'd highly appreciate it!!!
Found 3 solutions by richard1234, MathTherapy, ikleyn:
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Draw it carefully. If you label the points correctly you will see that it is in fact not a right triangle.

To verify, use the slope formula to find the slope between each pair of points. You will obtain three different slopes corresponding to the three points. The triangle is a right triangle if and only if two of the slopes have a product of -1 (or if one is horizontal and the other is vertical, but that is not the case here).

Try again, and be careful.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
3 points of a triangle are given. Use the points to draw the triangle, then use the slope formula to determine if any of the triangles are right triangles.
(0,0) (-5,2) (2,-5)
*I have done this problem over 10 times and can't figure out if it's a right triangle or not, I have to answer it correctly by tomorrow for class so if someone can please tell me if it forms a right triangle or not I'd highly appreciate it!!!

Easiest method: Determine the slopes.
Slope of AB: - .4
Slope of AC: - 2.5
Slope of BC: - 1
No 2 slopes are negative reciprocals of each other, so no 2 slopes are perpendicular, hence, this is NOT a right triangle
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
3 points of a triangle are given. Use the points to draw the triangle, then use the slope formula to determine if any of the triangles are right triangles.
(0,0) (-5,2) (2,-5)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your triangle

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