Bell Work A 15 foot ladder is leaning against a building at the 2nd floor window which is 12 feet above the ground. To the nearest foot, how far away is the bottom of the ladder from the base of the building? Notes: 9B Special Right Triangles 45-45-90 Vocabulary: Right triangles whose angles measure are ______________ 30-60-90 Special Right Triangles or ______________are called _________________________. Theorem 9.8 o The hypotenuse is 45 2x x 45 x o 45 -45 -90 o Triangle Theorem 2 times as long as each leg Hypotenuse = 2 leg 45 45 90 1 1 2 Example: Find the value of x. 3 45 45 45 90 2 1 1 3 o x Find the value of the variables. x 1. 45 4 2. 45 9 k h Practice: Find the value of the variables. 2. 1. x 7 x 3. y y x 45 13 18 45 How to Write in Simplified Radical Form Example: 45 1. 48 2. 72 3. 125 12 1. x 2. 5 7 14 x Pythagorean Theorem Review c a 2 a2 +b =c 2 b Find the length of the missing side of the right triangle. Write your answers in simplifest square root form. 2. 12 1. x 5 7 14 x Assignment: Worksheet 9B

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