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.

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Presentation transcript:

8-2 Special Right Triangles Objective: To use the properties of and triangles

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

Right Triangle LegHypotenuse 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 – 90 0

Triangle a Shorter leg (a) Longer leg (b) Hypotenuse (c) x Theorem Triangle In a 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 x2x b c

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