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Geometry

VIEWS: 23 PAGES: 16

									5.5: Do Now- review inequalities
   Name the inequalities below.
   Geometry Honors
5.5: Use Inequalities in a Triangle
 If one side of triangle is longer than another
  side, then the angle opposite the longer side is
  larger than the angle opposite the shorter side.
 The converse is also true.
                  B

        8
                      5
                               AB > BC, so
A                              m C > m A.
                          C
Practice A
Practice A
        Theorem 5.11: Triangle Inequality
                   Theorem
   The sum of the lengths of any two sides of a
    triangle is greater than the length of the third
    side.
                Y
                             XY + YZ > XZ
                             YZ + XZ > XY
                             XZ + XY > YZ

    X                 Z
Practice A
Practice A
Practice A
   Geometry Honors

5.6: Inequalities in Two Triangles
            Hinge Theorem
 If two sides of one triangle is congruent to
  two sides of another triangle, and the
  included angle of the first is larger than the
  second, then the third side of the first is
  longer than the second.
 The converse is also true.
Hinge Theorem Examples




                   
Hinge Theorem Examples
                 




   
Hinge Theorem Examples

								
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