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10-5 Triangles
The document discusses different types of triangles categorized by their angles and sides. It defines right triangles as having one 90 degree angle. Acute triangles have all angles less than 90 degrees, while obtuse triangles have one angle greater than 90 degrees. Equilateral triangles have all sides the same length, isosceles triangles have two sides the same length, and scalene triangles have no sides the same length. The document also introduces triangle notation, where each point is labeled with a letter and the triangle referred to by those three letters, such as triangle ABC.
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10-5 Triangles
- 1. 10-5 Triangles Math Notes Measurement & Geometry 2.0
- 2. 3 Triangles Basedon ANGLES 45˚ 90˚ 45˚
- 3. 3 Triangles Basedon ANGLES 45˚ 90˚ 45˚ RIGHT Triangle One angle is 90˚ (right angle)
- 4. 3 Triangles Basedon ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT Triangle One angle is 90˚ (right angle)
- 5. 3 Triangles Basedon ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT ACUTE Triangle Triangle One angle All three is 90˚ (right angles are acute angle)
- 6. 3 Triangles Basedon ANGLES 45˚ 80˚ 50˚ 90˚ 45˚ 100˚ 40˚ 60˚ 30˚ RIGHT ACUTE Triangle Triangle One angle All three is 90˚ (right angles are acute angle)
- 7. 3 Triangles Basedon ANGLES 45˚ 80˚ 50˚ 90˚ 45˚ 100˚ 40˚ 60˚ 30˚ RIGHT ACUTE Triangle OBTUSE Triangle Triangle One angle All three One angle is 90˚ (right angles are is obtuse acute angle)
- 9. 45˚ 90˚ 45˚ 45˚ 90˚ + 45˚
- 10. 45˚ 80˚ 90˚ 45˚ 60˚ 40˚ 45˚ 80˚ 90˚ 40˚ + 45˚ + 60˚
- 12. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚
- 13. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS...
- 14. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS... 180˚
- 15. 3 Triangles Basedon SIDES
- 16. 3 Triangles Basedon SIDES 5” 5” 5”
- 17. 3 Triangles Basedon SIDES 5” 5” 5” EQUILATERAL TRIANGLE ALL sides are the same length
- 18. 3 Triangles Basedon SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL TRIANGLE ALL sides are the same length
- 19. 3 Triangles Basedon SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL ISOSCELES TRIANGLE TRIANGLE ALL sides are TWO sides are the same length the same length
- 20. 3 Triangles Basedon SIDES 5” 5” 6” 6” 6” 4” 5” 3” 5” EQUILATERAL ISOSCELES TRIANGLE TRIANGLE ALL sides are TWO sides are the same length the same length
- 21. 3 Triangles Basedon SIDES 5” 5” 6” 6” 6” 4” 5” 3” 5” EQUILATERAL ISOSCELES SCALENE TRIANGLE TRIANGLE TRIANGLE ALL sides are TWO sides are NO sides are the same length the same length the same length
- 22.
- 23. Notation for Triangles B A C
- 24. Notation for Triangles B Write this down as: A C
- 25. Notation for Triangles B Write this down as: ABC A C
- 26. Notation for Triangles B Write this down as: ABC You say: “triangle ABC” A C
- 27.
- 28. Notation for Triangles Y X Z
- 29. Notation for Triangles Y Write this down as: X Z
- 30. Notation for Triangles Y Write this down as: ___ X Z
- 31. Notation for Triangles Y Write this down as: ___ You say: “triangle ____” X Z