9.4 Special Right Triangles - PowerPoint PPT Presentation

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9.4 Special Right Triangles

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9.4 Special Right Triangles 45-45-90 30-60-90 Exceedingly Essential for Pre-Cal Theorem In a Right triangle, if the acute angles are 45 degrees, then the legs are ... – PowerPoint PPT presentation

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Title: 9.4 Special Right Triangles


1
9.4 Special Right Triangles
  • 45-45-90
  • 30-60-90
  • Exceedingly Essential for Pre-Cal

2
Theorem
  • In a Right triangle, if the acute angles are 45
    degrees, then the legs are equal and the
    hypotenuse equals the length of the leg times
    square root of two.

3
Solve for x
4
Solve for x
5
Solve for a
6
Solve for a
7
Theorem
  • In a Right triangle, if the acute angles are
    thirty degree and sixty degree, then the side
    across the hypotenuse is twice the side across
    from the thirty degree angle. The side across
    from the sixty degree equals the sides across
    from the thirty degree angle times square root of
    three.

8
Solve for x and r
9
Solve for x and r
10
Find r and x
11
Find r and x
12
Find r and x
13
  • Burn into your memory the 30-60-90
  • and 45-45-90 triangles.
  • When you do the Unit Circle, you will need it

14
Homework
  • Page 554 555
  • 12 - 26

15
Homework
  • Page 554 555
  • 27 - 34, 37,
  • 38, 42, 47 - 49
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