SOLUTION: Vertices of a triangle A(1,2) B(5,10) C(-7,6) Show that it is a right triangle. p.s thanks soo much ! I have no idea how to do this.

Algebra ->  Triangles -> SOLUTION: Vertices of a triangle A(1,2) B(5,10) C(-7,6) Show that it is a right triangle. p.s thanks soo much ! I have no idea how to do this.      Log On


   

Question 311197: Vertices of a triangle A(1,2) B(5,10) C(-7,6)
Show that it is a right triangle.

p.s thanks soo much ! I have no idea how to do this.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the distance formula to compute the distance from A to B, from B to C, and from C to A.




where and are the coordinates of the two points.

Square the three distances. If the two smaller values sum to the third value, the triangle is a right triangle.


John