51. Wednesday: 1/6 ~~ Topic 5 "Triangle Inequalities"

51. Wednesday: 1/6 ~~ Section 6 Triangles Part 2

Topic 5 "Triangle Inequalities"

Let play around with this link to understand triangle inequality

https://www.mathopenref.com/triangleinequality.html

Fill in the Blanks

Example 1: Find the range of the possible lengths for the missing side of the given triangles

Fill in the Blanks

Example 2: Find the range of the possible lengths for the missing side of the given triangles

4ft and 3ft

Multiple Choice

Consider the figure below.

Darius is remodeling his kitchen. The “kitchen triangle”

refers to the triangle formed by the sink, the refrigerator,

and the stovetop. The above figure represents the

remodeling plan.

Can the distance from his sink to stovetop be 9 feet long?

Justify your answer

• Yes, it can be 9 feet long

• No, it can not be 9 feet long.

• No, it must be less than 9 feet long

Multiple Select

Example 4:

Which of the following could represent the lengths of the sides of a triangle? Select all that apply.

• 2m, 4m, 7m

• 3m, 8m, 10m

• 9m, 10m, 11m

• 4m, 5m , 9m

• 7m, 13m, 18m

Multiple Select

ALERT 🔊🔊 NEXT TEST

Mr. Littles is building a triangular sandbox using three boards. He already has two boards that measure 9 feet and 12 feet. Select all of the values that could represent the length of the third board of his triangular sandbox

• 3 ft

• 15 ft

• 19 ft

• 21 ft

• 30 ft

Multiple Choice

Complete with < , >, =

ST ____ VW

• <

• >

• =

Multiple Choice

Complete with < , >, =

DE ______ EF

• <

• >

• =

Multiple Choice

Complete with < , >, =

 $m\angle1_{ }$  ______ $m\angle2$  

• <

• >

• =

Multiple Choice

Complete with < , >, = 

 $m\angle2$  _______ $m\angle1$  

• <

• >

• =

Fill in the Blanks

Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x

Fill in the Blanks

Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x

Multiple Select

ALERTE 🔊🔊 NEXT TEST 🔊

Based on the information given in the diagram, choose all of the statements that are correct