SOLUTION: Show that the points(5,7), (3,9) and (6,8) are the vertices of a right triangle. can use distance formula or slope.

Algebra ->  Length-and-distance -> SOLUTION: Show that the points(5,7), (3,9) and (6,8) are the vertices of a right triangle. can use distance formula or slope.      Log On


   

Question 36075: Show that the points(5,7), (3,9) and (6,8) are the vertices of a right triangle.
can use distance formula or slope.
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the points(5,7)...A SAY, (3,9)....B SAY and (6,8).....C SAY are the vertices of a right triangle.
can use distance formula or slope.
SLOPE OF AB =(Y2-Y1)/(X2-X1)=(9-7)/(3-5)=-2/2=-1
SLOPE OF AC=(8-7)/(6-5)=1
PRODUCT OF SLOPES OF AB AND AC=1*-1=-1
HENCE THEY ARE PERPENDICULAR.SO ABC IS RIGHT ANGLED AT A.