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