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8.2 Special Triangles
Part 2: 30-60-90

Objective: Use special triangles to solve
missing parts.

Standard: Geometry 20.0
Review of 45-45-90 Triangle

Ratio: _____:_____:______

How do we get it?




Ex)
           20
The 30-60-90 Triangle
  (Half of an equilateral triangle)




      2
                           4
6
    16
The 30-60-90 Ratio-




x
Ex. 1) Find the missing sides of the triangle.



          14
           30°
                                 60°
                                   9
Ex. 2) Find the missing sides of the triangle.



         75                            9
           30°
                                60°
Ex. 3) Find the missing sides of the triangle.



                                       25√3
             30°
                                60°
        75
Summary:
45-45-90
Given one leg, leg2 is _____ and the
hypotenuse is ______
Given hypotenuse, legs 1 and 2 are _____

30-60-90
Given short leg, mid leg is _____ and
hypotenuse is ______ the given side.
Given mid leg, short leg is _____ and
hypotenuse is ______ the given side.
Given hypotenuse, short leg is _____ and
mid leg is _____ the given side.
Geo 8.2 notes_p2_30

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Geo 8.2 notes_p2_30

  • 1. 8.2 Special Triangles Part 2: 30-60-90 Objective: Use special triangles to solve missing parts. Standard: Geometry 20.0
  • 2. Review of 45-45-90 Triangle Ratio: _____:_____:______ How do we get it? Ex) 20
  • 3. The 30-60-90 Triangle (Half of an equilateral triangle) 2 4
  • 4. 6 16
  • 6. Ex. 1) Find the missing sides of the triangle. 14 30° 60° 9
  • 7. Ex. 2) Find the missing sides of the triangle. 75 9 30° 60°
  • 8. Ex. 3) Find the missing sides of the triangle. 25√3 30° 60° 75
  • 9. Summary: 45-45-90 Given one leg, leg2 is _____ and the hypotenuse is ______ Given hypotenuse, legs 1 and 2 are _____ 30-60-90 Given short leg, mid leg is _____ and hypotenuse is ______ the given side. Given mid leg, short leg is _____ and hypotenuse is ______ the given side. Given hypotenuse, short leg is _____ and mid leg is _____ the given side.