SOLUTION: I'm so stuck on this question! I don't even know where to start! please help! "Use Coordinate geometry to verify that the triangle formed by the points (3,5) , (7,3) and (-5,4)

Algebra ->  Length-and-distance -> SOLUTION: I'm so stuck on this question! I don't even know where to start! please help! "Use Coordinate geometry to verify that the triangle formed by the points (3,5) , (7,3) and (-5,4)       Log On


   

Question 397114: I'm so stuck on this question! I don't even know where to start! please help!
"Use Coordinate geometry to verify that the triangle formed by the points (3,5) , (7,3) and (-5,4) is isosceles "
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle can't be isosceles...this is because the distance between each pair of points is different:

(3,5), (7,3)
d+=+sqrt%28%283-7%29%5E2+%2B+%285-3%29%5E2%29+=+sqrt%2820%29

(3,5), (-5,4)
d+=+sqrt%28%283-%28-5%29%29%5E2+%2B+%285-4%29%5E2%29+=+sqrt%2882%29

(7,3), (-5,4)
d+=+sqrt%28%287-%28-5%29%29%5E2+%2B+%283-4%29%5E2%29+=+sqrt%28145%29