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Notes 3.6

Notes 3.6. Classifying Triangles. C. A. AB , BC , and AC are the sides of ABC. B. Triangles. A , B , C are the triangle's vertices. Classifying Triangles. BY THEIR ANGLES. Acute Triangle. All 3 angles are acute (less than 90). Equiangular Triangle.

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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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