Download presentation

Published byDiego Hill Modified over 4 years ago

1
**5:4 Inequalities for Sides and Angles of a Triangle**

Objective: Recognize and apply relationships between sides and angles of triangles

2
C Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. EX. 7 12 A B 9 List the angles from greatest to least.

3
EX: D Theorem: If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. 35° 55° E F List the sides from shortest to longest.

4
**EXAMPLE Which is greater, mCBD or mCDB? C Is mADB> mDBA? D**

Which is greater, mCDA or mCBA? C 15 D 8 12 16 A 10 B

5
**PRACTICE Name the angle with the least measure in ▲LMN.**

Which angle in ▲MOT has the greatest measure? Name the greatest of the six angles in the two triangles, LMN and MOT. L 10 N 7 6 M 9 5 O 8 T

6
**EXAMPLE 1. Which side of ▲RTU is the longest?**

2. Name the side of ▲UST that is the longest. 3. T 30º 110º R U S

7
**PRACTICE 1. What is the longest segment in ▲CED?**

2. Find the longest segment in ▲ABE. 3. Find the longest segment on the figure. Justify your choice. 4. What is the shortest segment in BCDE? 5. Is the figure drawn to scale? Explain. A E 55º D 50º 30º 40º 100º C B

8
Exit Ticket Find the value of x and list the sides of ∆ABC in order for SHORTEST to LONGEST if the angles have the indicated measures. m∠A = 12x - 9, m∠B = 62 – 3x , m∠C = 16x + 2

Similar presentations

OK

Section 5.3 Inequalities in One Triangle. The definition of inequality and the properties of inequalities can be applied to the measures of angles.

Section 5.3 Inequalities in One Triangle. The definition of inequality and the properties of inequalities can be applied to the measures of angles.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on even and odd functions Ppt on astronomy and astrophysics journal Certificate templates free download ppt on pollution Ppt on global warming for class 5 Ppt on nepali culture and tradition Ppt on inhabiting other planets in the milky Ppt on case study of samsung Download ppt on civil disobedience movement of 1930 Persistence of vision display ppt online Ppt on formation of company for class 11