LEQ: How can use angle measures or side lengths to make conclusions in triangles?

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Presentation 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 A D C B FE

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 H OM L K J IG N

List the angles from smallest to largest Q P R T U S

Activity on notes Draw triangles. Add up 2 sides of the triangle, how does the sum compare to the 3 rd number? Try 2 different sides…same thing? Repeat this with the other examples. What can you conclude?

Thm 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 3 rd side? Missing side= x x+5>12 AND >x

Hwk: p all, 35-37