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The Isosceles Triangle Theorems Section 4-4 The Isosceles Triangle Theorem • If two sides of a triangle are 34° congruent, then 2.8 inches the angles 2.8 inches opposite those sides are 73° 73° congruent 1.6 inches Converse To The Isosceles Triangle Theorem • If two angles of a triangle are 34° congruent, then 2.8 inches the sides 2.8 inches opposite those angles are 73° 73° congruent 1.6 inches Corollaries • An equilateral is also equiangular • An equiangular is also equilateral • An equilateral Triangle has 3 60 degree angles Corollaries • The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at the midpoint.