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Geometry 4-1 Classifying Triangles A triangle is a three-sided polygon. We name a triangle by naming the three corners (called vertices ). For example, a triangle with vertices A, B, and C is named ABC . We classify triangles in two ways: by their angles their sides . and by An acute triangle has three acute angles . A right triangle has one right angle . An obtuse triangle has one obtuse angle . An equiangular triangle has three congruent angles 9x - 1 4x + 1 C 5x - 1 = 4x + 1 x=2 AB = 4(2) + 1 = 9 AC = 5(2) - 1 = 9 BC = 9(2) - 1 = 17 3y - 3 5x - 1 A PAUSE HERE AND TRY THIS ONE. 5 G 3y - 3 = 2y + 5 FG = 2(8) + 5 = 21 + 2y y=8 GH = 3(8) - 3 = 21 F HF = 5(8) - 19 = 21 5y 19 H Use the best description for each triangle. . 50 68 63 Find the measures of the sides of isosceles triangle ABC. B A scalene triangle has no equal sides . An isosceles triangle has at least two equal sides An equilateral triangle has three equal sides . 49 acute isosceles 90 40 right 7 4 9 scalene .

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