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Triangle notes October 10, 2016 Triangles! Triangles can be classified in two different ways: 1. By their angles: a. If every angle in a triangle is less than 900 it is acute 600 600 600 b. If there is one 90o angle, it is right 30o 90o 60o c. If there is one angle that is greater than 90o, it is obtuse 40o 110o 30o *It is impossible to have more than one obtuse or 90o angle in a triangle 1 Triangle notes October 10, 2016 2. By the number of congruent sides they have. *In geometry, congruent means equal, or exactly the same a. If a triangle has no congruent sides, it is called scalene 10 5 7 b. If a triangle has two congruent sides, it is called isosceles 6 6 4 c. If a triangle has all three sides congruent, it is called equilateral 3 3 3 2 Triangle notes October 10, 2016 The relationship between angles and sides: You can use the angle measures to tell if a triangle is scalene, isosceles, or equilateral too. If a triangle has two equal angles, it must have two equal sides. Therefore, it is isosceles If a triangle has no equal angles, it must have no equal sides. Therefore, it is scalene. If a triangle has three equal angles, it must have three equal sides. Therefore, it is scalene. 3