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Triangle Classification and Angle Measures

Learn to classify triangles by angle measures and side lengths. Understand the different types of triangles such as acute, obtuse, right, scalene, equiangular, isosceles, and equilateral. Practice finding angle measures and side lengths in triangles. Discover how to classify triangles in a coordinate plane and explore the exterior angle theorem.

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Triangle Classification and Angle Measures

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  1. 5-1 Warm Up Classify each angle as acute, obtuse, or right. 1.2. 3. 4. If the perimeter is 47, find x and the lengths of the three sides.

  2. 5-1 Learning Objectives Classify triangles by their angle measures and side lengths. Use triangle classification to find angle measures and side lengths.

  3. 5-1 Atriangle( ) is a polygon with three sides. Triangles can be classified in two ways: (1) by angle measures (2) or by side lengths.

  4. 5-1 By angle measure By side length Acute triangle Scalene Equiangular Isosceles Right Equilateral Obtuse

  5. 5-1 By Angle Measures Acute Triangle Three acute angles

  6. 5-1 By Angle Measures Equiangular Triangle Three congruent acute angles

  7. 5-1 By Angle Measures Right Triangle One right angle

  8. 5-1 By Angle Measures Obtuse Triangle One obtuse angle

  9. 5-1 Example 1A: Classifying Triangles by Angle Measures 1 2 3 4

  10. 5-1 By Side Lengths Equilateral Triangle Three congruent sides

  11. 5-1 By Side Lengths Isosceles Triangle At least two congruent sides

  12. 5-1 By Side Lengths Scalene Triangle No congruent sides

  13. 5-1 Example 1B: Classifying Triangles by Side length 2) 1) 3)

  14. 5-1 How to classify triangles in a coordinate plane? 1. Find the coordinates. 2. Use the distance formula to find the length. 3. Compare the length of each side of the triangle. “I DO” “You do w/partner” “You alone”

  15. 5-1 Summary about triangles

  16. 5-1 Angles! Triangles have interior angles and exterior angles.

  17. 5-1 Angles! The sum of interior angles

  18. 5-1 Find the measure of x and classify the triangles “I DO” 1

  19. 5-1 Find the measure of x and classify the triangles “We do” 2

  20. 5-1 Find the measure of x and classify the triangles “You w/partner” 3

  21. 5-1 Find the measure of x and classify the triangles “You alone” 4

  22. 5-1 Exterior Angle Theorem

  23. 5-1 Exterior Angle Theorem Examples “I DO” 1

  24. 5-1 Exterior Angle Theorem Examples “We Do” 2

  25. 5-1 Exterior Angle Theorem Examples “You with a Partner” 3

  26. 5-1 Exterior Angle Theorem Examples “You Alone” 3

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