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8.2 Special Right Triangles

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8.2 Special Right Triangles Theorem 8.5 45-45-90 Triangle Theorem In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is time the length ... – PowerPoint PPT presentation

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Title: 8.2 Special Right Triangles


1
8.2 Special Right Triangles
2
Theorem 8.5 45-45-90 Triangle Theorem
  • In a 45-45-90 triangle, both legs are congruent
    and the length of the hypotenuse is time the
    length of a leg.
  • Hypotenuse x leg

45
45
90
3
Example 1
  • Find the vale of each variable

90
9
45
45
x
4
Practice 1
  • Find the value of each variable

45
45
90
5
Theorem 8.6 30-60-90 Triangle Theorem
  • In a 30-60-90 triangle, the length of the
    hypotenuse is twice the length of the shorter
    leg. The length of the longer leg is times
    the length of the shorter leg.
  • Hypotenuse 2 x shorter leg
  • Longer leg x shorter leg

30
90
60
6
Proof of 30-60-90
60
2s
2s
60
60
2s
7
Example
  • Find the value of the variable

30
5
f
60
90
d
8
Classwork/Homework
  • Pgs 428-429 1-8, 15, 21, 22
  • Pgs 428-429 9-14,16-20
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