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Transcript
LEQ: How can use angle measures or side lengths to make conclusions in triangles? Solve the inequalities: 1.) 7x-13≤-20 2.) .5(4x-8)≥19 3.) 5x-3x-6x‹-20 4.) 8y-4y+11≤-33 5.) 8c+2c+7<-10-3 Activity on notes B A D C E F 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. Ex: List the sides of the angles from longest to shortest K N H 40 70 G 60 30 90 I J 110 L M O List the angles from smallest to largest Q T 12 13 8 16 24 P 11 R S U Activity on notes Draw triangles. Add up 2 sides of the triangle, how does the sum compare to the 3rd number? Try 2 different sides…same thing? Repeat this with the other examples. What can you conclude? 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. Try examples a-c. c.) If 2 sides are 5 and 12, what is the range for the 3rd side? Missing side= x x+5>12 AND 12 +5 >x Hwk: p. 292-293 4-27 all, 35-37