10-5 Triangles
        Math Notes
Measurement & Geometry 2.0
3 Triangles Based on ANGLES

45˚


90˚   45˚
3 Triangles Based on ANGLES

   45˚


    90˚    45˚


    RIGHT
   Triangle
 One angle
is 90˚ (right
    angle)
3 Triangles Based on ANGLES

   45˚
                       80˚

    90˚    45˚
                 40˚   60˚

    RIGHT
   Tr...
3 Triangles Based on ANGLES

   45˚
                         80˚

    90˚    45˚
                   40˚   60˚

    RIGHT  ...
3 Triangles Based on ANGLES

   45˚
                         80˚   50˚

    90˚    45˚                       100˚
        ...
3 Triangles Based on ANGLES

   45˚
                         80˚   50˚

    90˚    45˚                       100˚
        ...
45˚




 90˚    45˚




  45˚
  90˚
+ 45˚
45˚

                      80˚


 90˚    45˚
                       60˚
              40˚


  45˚           80˚
  90˚     ...
100˚
50˚                  50˚
                   + 30˚

      100˚
             30˚
100˚
  50˚                                  50˚
                                     + 30˚

          100˚
               ...
100˚
  50˚                                  50˚
                                     + 30˚

          100˚
               ...
3 Triangles Based on SIDES
3 Triangles Based on SIDES


5”        5”



     5”
3 Triangles Based on SIDES


 5”        5”



      5”
 EQUILATERAL
   TRIANGLE
 ALL sides are
the same length
3 Triangles Based on SIDES


 5”        5”     6”        6”



      5”               3”
 EQUILATERAL
   TRIANGLE
 ALL sid...
3 Triangles Based on SIDES


 5”        5”      6”        6”



      5”                3”
 EQUILATERAL        ISOSCELES
 ...
3 Triangles Based on SIDES


 5”        5”      6”        6”     6”        4”


      5”                3”               5...
3 Triangles Based on SIDES


 5”        5”      6”        6”        6”        4”


      5”                3”             ...
Notation for Triangles
Notation for Triangles

            B




A               C
Notation for Triangles

            B
                    Write this down as:




A               C
Notation for Triangles

            B
                    Write this down as:
                             ABC




A      ...
Notation for Triangles

            B
                    Write this down as:
                             ABC


         ...
Notation for Triangles
Notation for Triangles

            Y




X               Z
Notation for Triangles

            Y
                    Write this down as:




X               Z
Notation for Triangles

            Y
                    Write this down as:
                             ___




X      ...
Notation for Triangles

            Y
                    Write this down as:
                             ___


         ...
10-5 Triangles
10-5 Triangles
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10-5 Triangles

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  • 10-5 Triangles

    1. 1. 10-5 Triangles Math Notes Measurement & Geometry 2.0
    2. 2. 3 Triangles Based on ANGLES 45˚ 90˚ 45˚
    3. 3. 3 Triangles Based on ANGLES 45˚ 90˚ 45˚ RIGHT Triangle One angle is 90˚ (right angle)
    4. 4. 3 Triangles Based on ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT Triangle One angle is 90˚ (right angle)
    5. 5. 3 Triangles Based on ANGLES 45˚ 80˚ 90˚ 45˚ 40˚ 60˚ RIGHT ACUTE Triangle Triangle One angle All three is 90˚ (right angles are acute angle)
    6. 6. 3 Triangles Based on 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. 7. 3 Triangles Based on 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)
    8. 8. 45˚ 90˚ 45˚ 45˚ 90˚ + 45˚
    9. 9. 45˚ 80˚ 90˚ 45˚ 60˚ 40˚ 45˚ 80˚ 90˚ 40˚ + 45˚ + 60˚
    10. 10. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚
    11. 11. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS...
    12. 12. 100˚ 50˚ 50˚ + 30˚ 100˚ 30˚ The sum of the angles of ANY triangle is ALWAYS... 180˚
    13. 13. 3 Triangles Based on SIDES
    14. 14. 3 Triangles Based on SIDES 5” 5” 5”
    15. 15. 3 Triangles Based on SIDES 5” 5” 5” EQUILATERAL TRIANGLE ALL sides are the same length
    16. 16. 3 Triangles Based on SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL TRIANGLE ALL sides are the same length
    17. 17. 3 Triangles Based on SIDES 5” 5” 6” 6” 5” 3” EQUILATERAL ISOSCELES TRIANGLE TRIANGLE ALL sides are TWO sides are the same length the same length
    18. 18. 3 Triangles Based on 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
    19. 19. 3 Triangles Based on 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
    20. 20. Notation for Triangles
    21. 21. Notation for Triangles B A C
    22. 22. Notation for Triangles B Write this down as: A C
    23. 23. Notation for Triangles B Write this down as: ABC A C
    24. 24. Notation for Triangles B Write this down as: ABC You say: “triangle ABC” A C
    25. 25. Notation for Triangles
    26. 26. Notation for Triangles Y X Z
    27. 27. Notation for Triangles Y Write this down as: X Z
    28. 28. Notation for Triangles Y Write this down as: ___ X Z
    29. 29. Notation for Triangles Y Write this down as: ___ You say: “triangle ____” X Z
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