# Let’s get started . . .

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09-Jan-2016

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20. 68. 175. 16. 78. 60. 168. 72. 32. 49. 12. 30. Lets 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. - PowerPoint PPT Presentation

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• Lets 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

• AppetizersWhat do you notice about these triangles?

• Section 7-3 Special Right TrianglesBy 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

• 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)Formally . . .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.Informally . . .Say what???????6030

• 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)Formally . . .The hypotenuse is times the leg.Informally . . .Say what???????4545

• Six Common Families of Right Triangles

(3, 4, 5)(5, 12, 13)(30-60-90)(7, 24, 25)(45-45-90)(8, 15, 17)

4 + 2 makes = 6 Right Families

• Apply it . . . Find the perimeter of isosceles trapezoid EFGH.Find the perimeter of isosceles trapezoid JMOP.P=38

• Angling Your Way . . .Raise your hand if you can identify the missing angles, starting with the smaller:6030

• Its Nice to be Special . . .Raise your hand if you can find the missing side:4

• Missing . . .Raise your hand if you can find the missing sides, starting with the leg:16

• Show Some Leg(s) . . .Raise your hand if you can find the missing side(s):454510

• Same but Different . . .Raise your hand if you can find the missing side:454577

• More . . .Raise your hand if you can find the missing sides, starting with the leg:308

• Even More . . .Raise your hand if you can find the missing sides, starting with the leg:3010

• Almost Done . . .Raise your hand if you can find the missing sides, starting with the leg:6020

• Grand FinaleRaise your hand if you can find the side(s) of this equilateral triangle:3015