1 / 10

Name the angles opposite of each side:

Y. X. Z. Name the angles opposite of each side:. X is opposite of YZ Y is opposite of XZ Z is opposite of XY. Triangle Inequalities. Geometry. Draw a triangle. Measure all the sides of the triangle. Add any two sides together and compare it to the third. What do you notice?

yachi
Télécharger la présentation

Name the angles opposite of each side:

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. Y X Z Name the angles opposite of each side: • X is opposite of YZ • Y is opposite of XZ • Z is opposite of XY

  2. Triangle Inequalities Geometry

  3. Draw a triangle • Measure all the sides of the triangle. • Add any two sides together and compare it to the third. What do you notice? • See if your conjecture is true for all three cases.

  4. Y X Z Triangle Inequality Theorem • The sum of the length of any two sides of a triangle is greater than the third side. • XY + YZ > XZ • YZ + XZ > XY • XZ + XY > YZ

  5. Using the Triangle Inequality Theorem… • Is it possible for 3, 7, and 8 to be the sides of a triangle? • What about 3, 6, and 10?

  6. Back To The Triangles • Measure the angles of the triangle you had drawn. • Compare the angle measurement and the measurement of the opposite side with the others. • What do you notice?

  7. Y X Z Inequalities Relating Sides and Angles • Theorem 4-10: If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. • Ex. If XZ > XY,then mY > mZ

  8. Y X Z Inequalities Relating Sides and Angles • Theorem 4-11: If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. • Ex. If mY > mZ,then XZ > XY

  9. In TUV, Name the sides from shortest to longest T • TV, UV, UT 58 62 U V

  10. Homework Work Packet: Triangle Inequalities

More Related