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Obj : SWBAT identify Special R ight Triangles 45-45-90 and 30-60-90 (8.2)

Obj : SWBAT identify Special R ight Triangles 45-45-90 and 30-60-90 (8.2) . WU: Midterm Review Questions (all work on own paper on an 4 x 2) hw/hw log/storybook “Right Triangles”/notes day 40

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Obj : SWBAT identify Special R ight Triangles 45-45-90 and 30-60-90 (8.2)

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  1. Obj: SWBAT identify Special Right Triangles 45-45-90 and 30-60-90 (8.2) • WU: Midterm Review Questions (all work on own paper on an 4 x 2) • hw/hw log/storybook “Right Triangles”/notes day 40 • If you wanted the Benchmark 2 to count, put your name and block on a piece of paper and put on my desk. • Homework (day 40): • p. 503 (1-13o, 15-19o, 23, 24, 25, 26, 27, 28, 34-38) • …..always rationalize where applicable • Quiz next block (8.1, 8.2) • Pearsonsuccess (due Friday)

  2. You Tube • “SOH-CAH-TOA”

  3. Right Triangle Notes continued

  4. 45 – 45 – 90 triangle Proof: Solve for d * The hypotenuse of a 45–45–90 triangle? √2 times the height of the leg. * The ratio of the sides are x : x : x√2. d x x

  5. In a 45° – 45° – 90° triangle, the length of the hypotenuse is √2 times the length of the leg. Now label each side using n as the unknown. • A 45° – 45° – 90° triangle is an isosceles triangle. The legs and the base angles are congruent. n√2 n n

  6. Solve for the variable. 1. 2. y 4. Triangle RST has hypotenuse 8” and ST = RT. Find ST 3. y

  7. 30 – 60 – 90 triangle In a 30° - 60° – 90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg. Now label the diagram using the variable, n, 30° 2n n√3 n

  8. Examples: 4. If DF = 10, then DE = ___ EF = __. 5. If CB =14√3 , then x = ___ y = ___.

  9. Let’s Practice- worksheet (day 40)

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