6_1 notes - In Triangle ABC , if BC &amp;amp;gt; AB , then...

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6.1 Triangle Inequalities Side lengths of a triangle Triangle Inequality Theorem 1- The sum of the lengths of any two sides of a triangle is greater than the length of the third side. In triangle ABC , AB + BC > AC , AB + AC > BC , and AC + BC > AB . Examples: Can a triangle be formed from the given lengths? a. 4 ft, 6 ft, 7 ft b. 9 cm, 9 cm, 20 cm Angles and sides of a triangle Triangle Inequality Theorem 2 One side of a triangle is longer than a second side if and only if the angle opposite the first side is larger than the angle opposite the second side.

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Unformatted text preview: In Triangle ABC , if BC &gt; AB , then m / A &gt; m / C . In Triangle ABC , if m / A &gt; m / C , then BC &gt; AB . 1.) Sketch a triangle with side lengths 5 cm, 12 cm, and 13 cm and angle measures 90, 23, and 67. Label all side lengths and angle measures. Sketch each situation. (Section 1.4) 2.). Points A , N , and Y are collinear. 3.) Line m intersects plane S in point B . Find the slope and y-intercept of each line. (Section 4.2) 4.) y = 4 x 1 5.) y = 3 6.) x = 7...
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This note was uploaded on 07/19/2010 for the course MATH Geo100 taught by Professor Any during the Spring '10 term at École Normale Supérieure.

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6_1 notes - In Triangle ABC , if BC &amp;amp;gt; AB , then...

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