1. 8-2 Special Right Triangles Objective: To use the properties of 45 0 -45 0 -90 0 and 30 0 -60 0 -90 0 triangles

2. Pythagorean Theorem Given a right triangle then ____________ a b c a 2 + b 2 = c 2 Review Hypotenuse: Legs: Converse: Side c Sides a and b Given 3 sides of triangle that satisfy _____________________________ a 2 + b 2 = c 2 then triangle is a right triangle

3. Right Triangle LegHypotenuse 3 8 5 x Theorem 8-5 In a ____________triangle, both legs are congruent and the length of the hypotenuse is_____. Hypotenuse = ( )leg Copy and Complete the table. Write answers in radical form - no decimals. 45 0 45 0 – 45 0 – 90 0

4. 30 0 - 60 0 - 90 0 Triangle a 30 0 60 0 Shorter leg (a) Longer leg (b) Hypotenuse (c) 4 3 8 x Theorem 8-6 30 0 -60 0 -90 0 Triangle In a 30 0 -60 0 -90 0 triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is ____ times the length of the shorter leg. hypotenuse = 2(shorter leg) longer leg = (shorter leg) Copy and Complete the table. Write answers in radical form no decimals 8 6 16 2x2x b c

5. Examples a 7 8-2 p.503: 7-12, 15- 20 Find the missing value. b 23 c 30 0 d 12 c = d = 6