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Angle –Side Relationships
0 If 2 sides of a triangle are not congruent, then the
larger angle is opposite the larger side.
0 If 2 angles of a triangle are not congruent, then the
larger side is opposite the larger angle.
A
54°
SMALL
LARGE
84°
B
42°
MEDIUM
C
Triangle Inequality Theorem
0 The sum of any 2 sides of a triangle is greater than
the length of the 3rd side.
A
0 AB + BC > AC
0
0
BC + AC > AB
AC + AB > BC
B
C
Exterior Angle Inequality
Theorem
0 The measure of an exterior angle of a triangle is
greater than the measure of either remote interior
angle.
Hinge Theorem
0 If 2 sides of one triangle are congruent to 2 sides of
another triangle and the 3rd side of the 1st triangle is
greater than the 3rd side of the 2nd triangle, then the
included angle of the 1st triangle must be greater than
the included angle of the 2nd triangle.