The Triangle Inequality Theorem

State if the three numbers can be measures of the sides of a triangle.
 $11,7,21$  

• Yes

• No

State if the three numbers can be measures of the sides of a triangle.
 $9,3,10$  

• Yes

• No

State if the three numbers can be measures of the sides of a triangle.
 $11,1,12$  

• Yes

• No

State if the three numbers can be measures of the sides of a triangle.
 $9,12,22$  

• Yes

• No

State if the three numbers can be measures of the sides of a triangle.
 $6,6,3$  

• Yes

• No

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $10,7$  

•  $5<x<16$  

•  $4<x<14$  

•  $4<x<17$  

•  $3<x<17$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $12,12$  

•  $1<x<24$  

•  $4<x<24$  

•  $4<x<23$  

•  $0<x<24$  

Tags

CCSS.7.G.A.2

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $8,12$  

•  $4<x<16$  

•  $5<x<20$  

•  $4<x<17$  

•  $4<x<20$  

Tags

CCSS.HSA.CED.A.3

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $12,7$  

•  $5<x<18$  

•  $6<x<19$  

•  $5<x<19$  

•  $7<x<19$  

Tags

CCSS.HSA.CED.A.3

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $10,6$  

•  $4<x<16$  

•  $5<x<15$  

•  $6<x<15$  

•  $4<x<14$  

Tags

CCSS.7.G.A.2