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7.3 Special Right Triangles

Interactive Notebook Entries Table of Contents pg. 21 Special Right Triangles Notes Pg. 22 Special Right Triangles Practice. 7.3 Special Right Triangles. *You will be able to find the lengths of sides of special right triangles. 45-45-90 And 30-60-90. Special Right Triangles.

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7.3 Special Right Triangles

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  1. Interactive Notebook EntriesTable of Contentspg. 21 Special Right Triangles NotesPg. 22 Special Right TrianglesPractice

  2. 7.3 Special Right Triangles *You will be able to find the lengths of sides of special right triangles 45-45-90 And 30-60-90

  3. Special Right Triangles Leg:Leg:Hypotenuse Short Leg:Long Leg:Hypotenuse

  4. 45-45-90

  5. We will use a reference triangle to set up an equation then solve. In a 45-45-90 triangle… LEGS ARE THE SAME LENGTH

  6. 45-45-90 Right Triangle 1 1 This is our reference triangle for the 45-45-90.

  7. 45-45-90 Right Triangle x x

  8. Example 1: Solve for x x 3 Hyp = • Leg 3

  9. Example 2: Solve for x x 5 5 Hyp = • Leg

  10. Example: 3 Solve for x Hyp = • Leg 45 3 x

  11. 30-60-90

  12. We will use a reference triangle to set up an equation then solve. 30-60-90 Right Triangle 60 2 1 30 This is our reference triangle for the 30-60-90 triangle.

  13. 30-60-90 Right Triangle 60 2x x 30

  14. Example: 1 Solve for x and y 60 8 x 30 y

  15. Solve for x Example 2: 30 x 24 60

  16. Example: 3 Solve for x and y 30 14 y 60 x 14 = 2x 7 = x

  17. Example 4: Solve for x and y x 60 30 y y = 10 5 = x

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