Understanding properties of triangles

Brooke drew a triangle. One side of the triangle is 6 centimeters long. Another side of the triangle is 11 centimeters long. Which could be the length of the third side of the triangle?

• 3 centimeters

• 5 centimeters

• 12 centimeters

• 17 centimeters

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17

• 12 < x < 29

• 5 < x < 17

• 5 < x < 29

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

•  $1<x<24$  

•  $4<x<24$  

•  $4<x<23$  

•  $0<x<24$  

The lengths of two sides are given (4, 13). What are the possible length of the third side? Between what two numbers

• Between 9 and 17

• Between 0 and 13

• Between 4 and 13

A triangle has side lengths 7 and 12.

Which choice CAN be the length of the third side?

• 5

• 10

• 19

• 21

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

• A. 4 < x < 16

• B. 6 < x < 16

• C. 5 < x < 16

• D. 4 < x < 15

If a triangle has two sides with lengths 8 and 15, which of the following could be the length of the third side?

• 7

• 17

• 23

• 24

The lengths of two sides are given (27, 39). What are the possible length of the third side? Between what two numbers

• Between 12 and 66

• Between 27 and 39

• Between 12 and 67

According to the​ ​ (a)   two sides of a triangle must be ​ (b)   the third side.

• triangle inequality theorem
• greater than
• less than
• greater than or equal to
• less than or equal to
• Triangle exterior angle inequality theorem