SOLUTION: Determine whether the three points are the vertices of a right triangle. (10, -4), (16, -2), (15, -7)

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Question 897473: Determine whether the three points are the vertices of a right triangle.
(10, -4), (16, -2), (15, -7)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
See if it follows the Pythagorean theorem.
Use the distance formula to calculate the sides.
D%5B1%5D%5E2=%28-2-%28-4%29%29%5E2%2B%2816-10%29%5E2=4%2B36=40
D%5B2%5D%5E2=%28-7-%28-2%29%29%5E2%2B%2815-16%29%5E2=25%2B1=26
D%5B3%5D%5E2=%28-4-%28-7%29%29%5E2%2B%2810-15%29%5E2=9%2B25=34
If it was a right triangle, by the Pythagorean theorem,
D%5B1%5D%5E2=D%5B2%5D%5E2%2BD%5B3%5D%5E2
40=26%2B34
40=60
False, so it's not a right triangle.