Triangles

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $9,7$  

•  $6<x<14$  

•  $2<x<16$  

•  $2<x<14$  

•  $3<x<14$  

If a triangle has a side a=5 and b=12, what is c?

• 10
• 17
• 169
• 13

Which could be the lengths of three sides of a triangle?

• 14 cm, 4.7 cm, 4.7 cm

• 9 cm, 11 cm, 21 cm

• 8.5 cm, 17 cm, 10.6 cm

• 6 cm, 14 cm, 8 cm

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

• 2 cm, 8 cm, 8 cm
• 
  2 cm, 3 cm, 6 cm
• 4 cm, 5 cm, 7 cm
• 5 cm, 6 cm, 9 cm

Which set of numbers may represent the lengths of the sides of a triangle?

• {2, 5, 9}

• {6, 6, 7}

• {6, 4, 2}

• {7, 8, 1}

What is the range of possible values for x?

• 2.8 < x < 5.4

• 1.3 < x < 4.1

• 2.8 < x < 4.1

• 1.3 < x < 5.4

Fill in the blanks of the compound inequality that gives the restrictions on x.

Three sides of a triangle are 5, 8, and x.

​ ​​ (a)   < x < ​ (b)  

• 3
• 13
• -3
• 5
• 8
• 40

Describe the possible lengths for the third side of the triangle given the two sides 4 and 4.

• 4 < x < 8
• 0 < x < 8
• 8 < x < 0
• 0 < x < 4

Describe the possible lengths for the third side of the triangle given the two sides 10 and 5.

• 5 < x 10
• 0 < x < 10
• 0 < x < 15
• 5 < x < 15

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

• 3 < x < 11

• 4 < x < 7

• 7 < x < 4

• 11 < x < 3