Determine whether the three points are the vertices of a rig
Determine whether the three points are the vertices of a right triangle. (3, -5), (9, -3), (15, -10) A) Yes B) No
Solution
34. A= (3,-5)
B= (9,-3)
C=(15,-10)
AB=sqrt((9-3)^2 + (-3+5)^2) = sqrt(40) =2sqrt10
BC= sqrt((15-9)^2 + (-10+3)^2) = sqrt(36+49)=sqrt85
AC= sqrt((15-3)^2 + (-10+5)^2) = sqrt( 169) =13
AB^2 + BC^2 is not equal to AC^2
So its not a right triangle.
