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Geometry Notes

Geometry Notes. Lesson 5.2A Special Right Triangles 45/45/90 T.2.G.5 Use the special right triangle relationships (30˚-60˚-90˚ and 45˚-45˚-90˚) to solve problems. 45 °. 45 °. 45°-45°-90° Special Right Triangle. Label the sides of the triangle:. leg. leg. hypotenuse. 45 °. 45 °.

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Geometry Notes

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  1. Geometry Notes Lesson 5.2A Special Right Triangles 45/45/90 T.2.G.5 Use the special right triangle relationships (30˚-60˚-90˚ and 45˚-45˚-90˚) to solve problems

  2. 45° 45° 45°-45°-90° Special Right Triangle • Label the sides of the triangle: leg leg hypotenuse

  3. 45° 45° 45°-45°-90° Special Right Triangle • Examples and Patterns:

  4. 45°-45°-90° Special Right Triangle • On a 45°-45°-90° triangle, the following are always true: • The legs are always • Hypotenuse = • Leg = congruent

  5. Steps to Finding all Sides and Angles in a 45-45-90 Triangle: Ask yourself: a) Am I getting bigger or smaller? b) Should I multiply or divide by ? c) If dividing, remember to rationalize the denominator!

  6. a c 6 Example 1: • Find the value of the missing variable:

  7. b a Example 2: • Find the value of the missing sides:

  8. a b 6 Example 3: • Find the value of the missing sides:

  9. 3 You try these: • Find the missing sides.

  10. 9 You try these: 2.

  11. 4 You try these: 3.

  12. Rationalizing Denominator of • If Even number: If Odd number:

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