Geometry - 5.5 Inequalities in One Triangle

Geometry - 5.5 Inequalities in One Triangle

- Take notes

- Make sure to score 100% before moving on to the next assignment.

Angle-Side Relationship

• Largest angle across from largest side

• Middle angle across from middle side

• Smallest angle across from smallest side

Multiple Choice

Select the largest angle.

• $\angle G$

• $\angle F$

• $\angle H$

Multiple Choice

Select the middle sized angle.

• $\angle G$

• $\angle F$

• $\angle H$

Multiple Choice

Select the smallest angle.

• $\angle G$

• $\angle F$

• $\angle H$

Multiple Choice

Select the smallest angle.

•  $\angle A$ 

•  $\angle B$ 

•  $\angle C$ 

Multiple Choice

Select the middle-sized angle.

•  $\angle A$ 

•  $\angle B$ 

•  $\angle C$ 

Multiple Choice

Select the largest angle.

•  $\angle A$ 

•  $\angle B$ 

•  $\angle C$ 

Multiple Choice

Which side is the longest? 

Hint: First find the missing angle.

• PQ

• QR

• RP

Multiple Choice

Which side is the middle length? 

Hint: First find the missing angle.

• PQ

• QR

• RP

Multiple Choice

Which side is the smallest length? 

Hint: First find the missing angle.

• PQ

• QR

• RP

Multiple Choice

Which is equation is a correct setup to solve for x?

• $4x+20+30\ =\ x+5$

• $30+4x+20+x+5=90\degree$

• $30+4x+20+x+5=180\degree$

Triangle Inequality Theorem

• To form a triangle:

• The sum of any two sides of a triangle must be greater than the third side

Multiple Choice

Which combination of sides forms a triangle?

• 1,1,2

• 3,5,7

Multiple Choice

Which combination of sides forms a triangle?

• 4, 4, 7

• 2, 5, 7.1

Multiple Choice

What is a possible third side to a triangle with side lengths of 5 and 5?

• 9
• 10
• 11
• 12