SOLUTION: I don't understand Inequalities for Sides and Angles of a Triangle. So can you please help me better understand it???? I hope you can and thank you if you can!!!! Raven

Algebra ->  Triangles -> SOLUTION: I don't understand Inequalities for Sides and Angles of a Triangle. So can you please help me better understand it???? I hope you can and thank you if you can!!!! Raven       Log On


   



Question 34858: I don't understand Inequalities for Sides and Angles of a Triangle. So can you please help me better understand it???? I hope you can and thank you if you can!!!!
Raven

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
THERE ARE QUITE A FEW INEQUALITIES IN A TRIANGLE..I DONT KNOW WHAT ALL YOU NEED.OK..LET ME NAME SOME PRELIMINARY INEQUALITIES.
BASIS LET ABC BE THE TRIANGLE WITH X,Y AND Z AS THE 3 SIDES AND A,B,C AS THE 3 ANGLE......THEN
1.SUM OF ANY 2 SIDES IS GREATER THE THIRD SIDE...THAT IS
X+Y>Z.....X+Z>Y......Y+Z>X
2.DIFFERENCE OF ANY 2 SIDES IS LESS THAN THE THIRD SIDE...THAT IS
|X-Y| 3.SINCE SUM OF ALL 3 ANGLES IS 180,NO ANGLE CAN BE MORE THAN 180
X<180......Y<180................Z<180.......