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Warm-up

Warm-up. D. A. 30°. 30°. C. B. 90 feet. A person is standing at point A cheering on his favorite team. Round to nearest tenth. Find the height CD of the bleachers. Find the height of the fan at Point A from the ground. Find the distance AB that the fan is from the field at B.

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Warm-up

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  1. Warm-up D A 30° 30° C B 90 feet. • A person is standing at point A cheering on his favorite team. Round to nearest tenth. • Find the height CD of the bleachers. • Find the height of the fan at Point A from the ground. • Find the distance AB that the fan is from the field at B. 52.0 feet 39.0 feet 77.9 feet

  2. Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: How do we solve 45°-45°-90° right triangles? Standard: MM2G1.b

  3. 5.1 Special Right Triangles Learning Task – Part 2

  4. 5.1 Special Right Triangles You will be able to find the lengths of sides of special right triangles 30-60-90 And 45-45-90

  5. 45-45-90

  6. Special Right Triangles Leg:Leg:Hypotenuse

  7. We will use a reference triangle to set up a proportion then solve. In a 45-45-90 triangle… LEGS ARE THE SAME LENGTH

  8. 45-45-90 Right Triangle 1 1 This is our reference triangle for the 45-45-90.

  9. 45-45-90 Right Triangle x x

  10. EX: 1 Solve for x a√2 x a 3 a 3

  11. EX: 2 Solve for x x a√2 a 5 a 5

  12. EX: 3 Solve for x 45 3 a√2 a x a

  13. Extension Problem The diagonal of a square is 12 inches. Find the area. Round to the nearest tenth. 12 in. Area = 72 in.2

  14. Homework Page 153 #1-9, 23-24

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