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

Inequalities in One Triangle Geometry. Objectives: Use triangle measurements to decide which side is longest or which angle is largest. Use the Triangle.

Inequalities in One Triangle Geometry. Objectives: Use triangle measurements to decide which side is longest or which angle is largest. Use the Triangle.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google