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Geometry Warm-Up 1/31/12

Geometry Warm-Up 1/31/12. Find the value of x. 1. 2. 15. x. 13. 12. x. 7. Perfect Squares Quiz. 9. 20 2. 17. 13 2. 1. 4 2. 10. 16 2. 18. 9 2. 2. 17 2. 11. 7 2. 19. 15 2. 3. 12 2. 12. 14 2. 20. 6 2. 4. 5 2. 13. 2 2. 5. 8 2. 14. 10 2. 6. 19 2. 15. 3 2.

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Geometry Warm-Up 1/31/12

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  1. Geometry Warm-Up 1/31/12 • Find the value of x. 1. 2. 15 x 13 12 x 7

  2. Perfect Squares Quiz 9. 202 17. 132 1. 42 10. 162 18. 92 2. 172 11. 72 19. 152 3. 122 12. 142 20. 62 4. 52 13. 22 5. 82 14. 102 6. 192 15. 32 7. 112 16. 182 8. 12

  3. Sec 8.3: Special Right Triangles Geometry January 31, 2012

  4. Special Right Triangles • Special Right Triangles • Triangles whose angles measures are either 45-45-90 or 30-60-90.

  5. 45-45-90 Triangle • Special Relationships • Because you have two 45 angles, the two legs are congruent. • The hypotenuse is √2 times as long as each leg • Hypotenuse = √2 ● leg

  6. 30-60-90 Triangles • Special Relationships • Because the two acute angles have different measures, you have a long leg and a short leg • The hypotenuse is twice as long as the short leg and the long leg is √3 times as long as the short leg. • Hypotenuse = 2 ● short leg • Long Leg = √3 ● short leg

  7. Example 1 • Find the value of x. Hypotenuse = √2 ● leg x = √2 (7) x = 7√2

  8. Example 2 Long leg = √3 ● short leg • Find the values of s and t. 9 = √3 (s) 9√3 = s 3 3√3 = s Hyp = 2 ● short leg t = 2 (3√3) t = 6√3

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