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8.2 Special Right Triangles

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 of a leg. Hypotenuse= x leg. 45. 45. 90. Example #1. Find the vale of each variable. 90. 9. 45. 45. x.

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8.2 Special Right Triangles

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  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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