1 / 12

Section 5.5

Section 5.5. Inequalities in One Triangle. Theorem 5.10. If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side. 15. B. 12. A. THEOREM 5.11.

aiko
Download Presentation

Section 5.5

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 5.5 Inequalities in One Triangle

  2. Theorem 5.10 • If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side. 15 B 12 A

  3. THEOREM 5.11 • If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle 60 o Side 2 Side 1 > Side 2 45 o Side 1

  4. Write the sides/angles in order from least to greatest. A E 15 33 63 C 32 B F 22 D

  5. Is PQ>8? Is RQ<8? Q 57 61 P R 8

  6. Exterior Angle Inequality • The measure of an exterior angle of a triangle is greater then the measure of either of the two nonadjacent interior angles. A 1 B <1 is greater than <A <1 is greater than <B

  7. What are the possible angle measures of <A? 42 A

  8. Triangle Inequality • The sum of the lengths of any two sides of a triangle is greater than the length of the third side. A AB + BC >AC AC + BC > AB AB + AC > BC C B

  9. Is it possible to have a triangle with the given side lengths? • 3, 8, 3 • 6, 7, 12 • 9, 5, 11 • 8, 12, 20

  10. What are the possible lengths of the third side of the triangle? • 8, 17, ? • 12, 18, ?

  11. Write and solve the inequality PQ + QR > PR. Q 2x+1 3x-3 P R 3x+1

  12. Homework • p. 298 #2-19, 24, 25

More Related