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Notes 3.6

Learn how to classify triangles based on their angles and side lengths. Identify different types such as acute, equilateral, obtuse, and scalene triangles with examples. Understand properties of triangles by their vertices and measurements.

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Notes 3.6

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  1. Notes 3.6 Classifying Triangles

  2. C A AB, BC, and AC are the sides of ABC. B Triangles A, B, C are the triangle's vertices.

  3. Classifying Triangles BY THEIR ANGLES

  4. Acute Triangle • All 3 angles are acute (less than 90).

  5. Equiangular Triangle • All 3 angles are the same (60). • If all angles are equal then all sides must be equal too.

  6. Right Triangle • One right angle.

  7. Obtuse Triangle • One obtuse angle.

  8. B is an obtuse angle. So BDC is an obtuse triangle. Example 1A: Classifying Triangles by Angle Measures Classify BDC by its angle measures. B is an obtuse angle.

  9. Classifying Triangles BY THEIR SIDES

  10. Equilateral Triangle • 3 congruent sides • If all sides are equal then all angles must be equal too.

  11. Isosceles triangle Vertex Angle Leg Leg Base Base Angle Base Angle • Has at least 2 congruent sides • Base angles are always congruent

  12. Scalene Triangle • No congruent sides

  13. Example 2A: Classifying Triangles by Side Lengths Classify EHF by its side lengths. Isosceles.

  14. Lesson Summary • Classify each triangle by its angles and sides. • ∆ MNQ • ∆ NQP • ∆ MNP • 4. Find the side lengths of the triangle. acute; equilateral obtuse; scalene acute; scalene 29; 29; 23

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