1. 21 March 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT CLASS: pg. 493: 1 - 6 include sketch, formula, substitution, math, units 2) WARM UP- Write with no perfect squares under the radical:

2. Objective Students will discover relationships between lengths of sides of 45⁰-45⁰-90⁰ and 30⁰-60⁰-90⁰ triangles. Homework Due TODAY page 498: 1, 2, 4, 17, 19 include sketch, formula, substitution, math, units √ or X or -10

3. words to know… isosceles triangle- two sides same length simplify a radical—write as a product of smaller radicals without using decimal approximations simplified radical– no perfect square factors left under the radical sign

4. Two Special Right Triangles Isosceles right triangle Length of each leg 12345…78… Length of hypotenuse Sketch each using isometric dot paper– look for patterns!

5. What is the relationship between the lengths of the shorter side of a 30-60-90 triangle and the hypotenuse? Consider an equilateral triangle ABC. A B C D 60 ⁰

6. Two Special Right Triangles Length of shorter leg 12345…78… Length of hypotenuse Length of longer leg Find EXACT lengths – not decimal approximations

8. Term Definition Example Isosceles Right Triangle Conjecture In an isosceles right triangle, if the legs have length a, then the hypotenuse has length 30 0 -60 0 -90 0 Triangles In a 30-60-90 Triangle, if the shorter leg has length a, then the longer leg has length And the hypotenuse has length Chapter 9 Pythagorean Theorem a

11. Perfect squares Simplify the radicals: