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Warmup : solve the inequality. What does your solution mean?

Warmup : solve the inequality. What does your solution mean?. 7x-13≤-20 *Once you complete the warmup grab a solution sheet by the bucket and check your hwk answers*. Section 5.5: Inequalities in Triangles. LEQ: How can use angle measures or side lengths to make conclusions in triangles?.

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Warmup : solve the inequality. What does your solution mean?

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  1. Warmup: solve the inequality. What does your solution mean? 7x-13≤-20 *Once you complete the warmup grab a solution sheet by the bucket and check your hwk answers*

  2. Section 5.5: Inequalities in Triangles LEQ: How can use angle measures or side lengths to make conclusions in triangles?

  3. Theorem 5-10 • If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. Theorem 5-11: If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle.

  4. Ex: List the sides of the angles from longest to shortest K N H 40 30 70 60 90 110 G I J L M O

  5. List the angles from smallest to largest Q T 12 U 13 8 16 24 S R P 11

  6. Thm. 5-12 • Triangle Inequality Thm.: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. • Aka: the sum of the lengths of the two smallest sides is >the length of the third. A,b,c where a>b>c ex. 9,7,6 A+c>b a+b>c, so

  7. If 2 sides are 5 and 12, what is the range for the 3rd side? 12-5<x<12+5 Why? • 5+x>12 if x is not biggest side • 12+5>x if x is biggest side

  8. Hwk: p. 292-293 • 4-27 odds, 35-37

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