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Chapter 9 Right Triangles and Trigonometry 9.1 The Pythagorean Theorem. Recall: What do you remember about the Pythagorean theorem? The Famous Theorem! Example 1: Using the Pythagorean Theorem Find the value of x. What do you notice about all the side lengths? Keep in mind!

Chapter 9 Right Triangles and Trigonometry

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Page 1: Chapter 9 Right Triangles and Trigonometry

Chapter9RightTrianglesandTrigonometry

9.1ThePythagoreanTheorem.Recall:WhatdoyourememberaboutthePythagoreantheorem?TheFamousTheorem!Example1:UsingthePythagoreanTheoremFindthevalueofx.Whatdoyounoticeaboutallthesidelengths?Keepinmind!

Page 2: Chapter 9 Right Triangles and Trigonometry

Example2:UsingthePythagoreanTheoremFindthevalueofx.IsitaPythagoreanTriple?Example3:SolvingaReal-LifeProblemTheskyscrapershownareconnectedbyaskywalkwithsupportbeams.UsethePythagoreanTheoremtoapproximatethelengthofeachsupportbeam.Example4:VerifyingRightTrianglesTellwhethereachtriangleisarighttriangle.Example5:ClassifyingTrianglesVerifythatsegmentswithlengthsof4.3ft,5.2ft,and6.1ftformatriangle.Isthetriangleacute,right,orobtuse?Homework:3-17odd,22,24,27,31,37,41

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