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Classifying Triangles Free powerpoints at http://www.worldofteaching.com Geometry 1 1/22/2017 Two Ways to Classify Triangles ● ● By Their Sides By Their Angles Geometry 2 1/22/2017 Classifying Triangles By Their Sides ● ● ● Geometry Scalene Isosceles Equilateral 3 1/22/2017 Scalene Triangles ● ● ● No sides are the same length The smallest angle is across from the smallest angle, the largest angle is across from the largest side ∴ the angles will all be different 120° 11 15° 4 45° 15° 13 Geometry 4 1/22/2017 Isosceles Triangles ● ● ● ● At least two sides are the same length For our class, to reduce confusion, when we use the term “isosceles” to describe a triangle – it will have only two equal sides the congruent sides are called legs, and the unequal side is called the base the base angles opposite the legs are also congruent 48° 11 11 66° 66° 9 Geometry 5 1/22/2017 Equilateral Triangles ● ● ● ● All sides are the same length Also equiangular The angles of all triangles add up to 180° ∴ angles of a equilateral triangle are 60° 60° 11 11 60° Geometry 60° 11 6 1/22/2017 Classifying Triangles By Their Angles ● ● ● ● Geometry Acute Obtuse Right Equiangular 7 1/22/2017 Acute Triangles ● ● Acute triangles have three acute angles Acute means less than 90° Geometry 8 1/22/2017 Right Triangles ● ● Right triangles have one right angle. Right angles result from the intersection of perpendicular lines, are 90°. Why can there be only one? Geometry 9 1/22/2017 Obtuse Triangles ● ● Obtuse triangles have one obtuse angle Obtuse angles are greater than 90°. Why can there be only one? Geometry 10 1/22/2017 Classify this triangle. Right Scalene Geometry 11 1/22/2017 Classify this triangle. Obtuse Isosceles Geometry 12 1/22/2017 Classify this triangle. Acute Scalene Geometry 13 1/22/2017 Classify this triangle. 40° 70° 70° Acute Isosceles Geometry 14 1/22/2017 Classify this triangle. Obtuse Scalene Geometry 15 1/22/2017 Classify this triangle. Right Isosceles Geometry 16 1/22/2017