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GEOMETRY: Chapter 9 9.4 Special Right Triangles Theorem 9.8 450-450-900 Triangle Theorem In a 450-450-900 triangle, the hypotenuse is 2 times as long as each leg. hypotenuse=leg 2 Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 457. Ex. 1: Find the length of the hypotenuse. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Ex. 1: Find the length of the hypotenuse. a) 12 sq root 2; b)20 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Ex. 2: Find the length of the legs in the triangle. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Ex. 2: Find the length of the legs in the triangle. Answer: 15 ft Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Ex. 3: MNP is a right triangle. Find the length of MP. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Ex. 3: MNP is a right triangle. Find the length of MP. Answer: 18 sq root 2 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 458. Theorem 9.9 300-600-900 Triangle Theorem In a 300-600-900 triangle, the hypotenuse is Twice as long as the shorter leg, and the longer leg is 3 times as long as the shorter leg. hypotenuse = 2 shorter leg longer leg = shorter leg 3 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 459. Ex. 4: Alex has a team logo patch in the shape of an equilateral triangle. If the sides of the patch are 2½ inches long, what is the approximate height of the patch? Ex. 4: Alex has a team logo patch in the shape of an equilateral triangle. If the sides of the patch are 2½ inches long, what is the approximate height of the patch? Answer: 2.2 in Ex. 5: Find the value of a and b. Write your answer in simplest radical form. Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 459. Ex. 5: Find the value of a and b. Write your answer in simplest radical form. Answer: 5 square root 3 and 10 square root 3 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 459. 9.4, p. 554, #1-23 odds, 24-26 all (15 questions)