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Classifying Triangles and the Exterior Angle Theorem There are two ways to classify triangles – by sides and by angles. Scalene *No congruent sides Isosceles *at least 2 congruent sides Acute Right *3 acute angles *1 right angle Equalateral *3 congruent sides Obtuse *1 obtuse angle Triangle Sum Theorem: The sum of the measures of the three interior angles of a triangle is 180 degrees. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measure of the two remote interior angles. Base angles of an Isosceles Triangle: The angles opposite the two congruent sides of an isosceles triangle are called base angles. Base angles of an isosceles triangle are congruent. Scalene Triangle Isosceles Triangle Equilateral Triangle Acute Triangle Right Triangle Obtuse Triangle ’s in a Triangle Sides in a Triangle Congruent Triangles Similar Triangles Area of a Triangle Exterior of a Triangle