7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry.

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Presentation transcript:

7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry

45 ⁰ - 45 ⁰ - 90 ⁰ Triangle (Isosceles) Remember our warm up, half a square: If you know the side length, the hypotenuse is that number times  2 If you know the hypotenuse, divide by  2 x  2 x x 45 ⁰ 90 ⁰ x

Solve for x 76  6 x 45 ⁰ x 22 22 x 3  x 45 ⁰

30 ⁰ – 60 ⁰ - 90 ⁰ Triangle Equally as important, the 30 ⁰ – 60 ⁰ - 90 ⁰ Triangle has these given ratios. The best way to solve this is to find the length of the shorter side (across from the 30 ⁰ ) 60 ⁰ 30 ⁰ Short Side Long Side Hypotenuse Multiply by  3   Double Half   Divide by  3

Solve for x and y 60 ⁰ 30 ⁰ 60 ⁰ 30 ⁰ 60 ⁰ 30 ⁰

Homework p.461 1, 3 – 5, 7 – 18,