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Let’s get started . . .

20. 68. 175. 16. 78. 60. 168. 72. 32. 49. 12. 30. Let’s get started. Raise your hand if you can identify the family:. (3, 4, 5) *4. (5, 12, 13) *6. (8, 15, 17) *4. (7, 24, 25) *7. 30 . 30 . 346. 30 . 14. 20. 60 . 60 . 60 . 173. 7. 10. 45 . 45 . 45 . 25.

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  1. 20 68 175 16 78 60 168 72 32 49 12 30 Let’s get started . . . Raise your hand if you can identify the family: (3, 4, 5)*4 (5, 12, 13)*6 (8, 15, 17)*4 (7, 24, 25)*7

  2. 30 30 346 30 14 20 60 60 60 173 7 10 45 45 45 25 9 7 45 45 45 25 9 7 Appetizers What do you notice about these triangles?

  3. Section 7-3Special Right Triangles By the end of this lesson you will be able to*identify the ratio of the side lengths of a 30-60-90 *identify the ratio of the side lengths of a 45-45-90

  4. Formally . . . Informally . . . The side opposite the 30 angle (the shorter leg) is one-half the hypotenuse. The side opposite the 60 angle (longer leg) is times the shorter leg. Theorem: In a triangle whose angles have the measures 30, 60, and 90, the lengths of the sides opposite these angles can be represented by x, , and 2x respectively. (30-60-90-Triangle Theorem) 30 Say what??????? 60

  5. Formally . . . Informally . . . The hypotenuse is times the leg. Theorem: In a triangle whose angles have the measures 45, 45, and 90, the lengths of the sides opposite these angles can be represented by x, x, and respectively. (45-45-90-Triangle Theorem) 45 Say what??????? 45

  6. 4 + 2 makes = 6 Right Families Six Common Families of Right Triangles (3, 4, 5) (5, 12, 13) (30-60-90) (7, 24, 25) (45-45-90) (8, 15, 17)

  7. 10 E H 60 F G 16 8 P O 6 45 J M Apply it . . . Find the perimeter of isosceles trapezoid EFGH. Find the perimeter of isosceles trapezoid JMOP. P=38

  8. A 10 C B 5 Angling Your Way . . . Raise your hand if you can identify the missing angles, starting with the smaller: 30 60

  9. 45 45 It’s Nice to be Special . . . Raise your hand if you can find the missing side: 4

  10. 60 8 Missing . . . Raise your hand if you can find the missing sides, starting with the leg: 16

  11. Show Some Leg(s) . . . Raise your hand if you can find the missing side(s): 45 10 45

  12. Same but Different . . . Raise your hand if you can find the missing side: 45 45 7 7

  13. More . . . Raise your hand if you can find the missing sides, starting with the leg: 30 8

  14. Even More . . . Raise your hand if you can find the missing sides, starting with the leg: 30 10

  15. Almost Done . . . Raise your hand if you can find the missing sides, starting with the leg: 20 60

  16. Grand Finale Raise your hand if you can find the side(s) of this equilateral triangle: 30 15

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