Download presentation

1
**Triangle Inequalities**

Objective: Discover the inequalities between sides and angles of a triangle

2
**1. Draw 3 segments on your paper CA = 3 cm**

AT = 4 cm CT = 8 cm 3. Draw 3 more segments on your paper DO = 3 cm DG = 4 cm OG = 7 cm 2. Construct or draw ∆CAT 4. Construct or draw ∆DOG The sum of the lengths of any two sides of a triangle is _________ than the third side. Triangle Inequality Conjecture greater

3
**1. Draw a scalene triangle use a straightedge**

M s L Measure all angles and label: L = largest angle M = middle angle S = Smallest angle l 3. Measure all sides and label: m l = largest side m = middle side s = smallest side S 4. Any patterns? In a triangle, if one side is longer than another, then the angle opposite the longer side is _________________ ______________________ Side-Angle Inequality Conjecture larger than the angle opposite the shorter side.

4
**Triangle Exterior Angle Conjecture **

1. Draw a scalene triangle use a straightedge 2. Extend one side beyond triangle Exterior angle: an angle that forms a linear pair with an interior angle Remote interior angles: two angles that do not share a vertex with an exterior angle 3. Measure exterior and remote interior angles. Triangle Exterior Angle Conjecture The measure of an exterior angle of a triangle ______________________________________________. is equal to the sum of the remote interior angles

5
**Examples Pg 216 #1-17, 19-22 List a, b, c from smallest to greatest.**

Triangle or not? 8cm , 10 cm, 12 cm 4cm, 4cm, 8cm C, B, A Yes A Pg 216 #1-17, 19-22 No B 550 Find x 800 720 C 1200 x 400

Similar presentations

OK

4.7 Triangle Inequalities. Theorem 4.10 If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than.

4.7 Triangle Inequalities. Theorem 4.10 If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Download ppt on civil disobedience movements Ppt on course management system Ppt on types of trees Ppt on earth movements and major landforms in europe Placenta anatomy and physiology ppt on cells Ppt on 2nd world war date Ppt on charge-coupled device images Ppt on bank lending ratio Ppt on human resources for class 9 Ppt on job evaluation and merit rating