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8-2 Special Right Triangles

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. Review. a. Hypotenuse:. Side c. c. Sides a and b. Legs:. b. Pythagorean Theorem Given a right triangle then ____________. a 2 + b 2 = c 2. Converse:.

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8-2 Special Right Triangles

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  1. 8-2Special Right Triangles Objective: To use the properties of 450-450-900 and 300-600-900 triangles

  2. Review a Hypotenuse: Side c c Sides a and b Legs: b Pythagorean Theorem Given a right triangle then ____________ a2 + b2 = c2 Converse: Given 3 sides of triangle that satisfy _____________________________ a2 + b2 = c2 then triangle is a right triangle

  3. 450 – 450 – 900 Right Triangle Copy and Complete the table. Write answers in radical form - no decimals. 450 450 Theorem 8-5 In a ____________triangle, both legs are congruent and the length of the hypotenuse is_____. Hypotenuse = ( )leg 450 – 450 – 900

  4. Copy and Complete the table. Write answers in radical formno decimals 300- 600- 900 Triangle 300 8 c b 6 16 600 2x a Theorem 8-6 300-600-900 Triangle In a 300-600-900 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)

  5. Examples Find the missing value. 7 c = 6 300 a d 12 d = b c 23 p. 503: 7-12, 15-20, 22, 23, 26

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