Triangle Inequality

What is the range of possible lengths for the third side?

• 12 < x < 16

• 2 < x < 24

• 16 < x < 12

• 12 < x < 16

Two sides of a triangle have side lengths of 15 and 23.  
What is the range of possible lengths for the third side?

• 7 < x < 37

• 8 < x < 38

• 15 < x < 23

• 8 > x > 23

Two sides of a triangle have side lengths of 15 and 9.  
What is the range of possible lengths for the third side?

• 6 > x > 24

• 6 < x < 24

• 9 < x < 15

• 24 < x < 6

Does a triangle with these side lengths exist?
15, 12, 9

• Yes

• No

• I don't know.

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes

• No

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes

• No

Tags

CCSS.7.G.A.2

Which side lengths would NOT form a triangle?

• {3,4,5}

• {2,5,9}

• {5,10,12}

• {7,9,11}

Tags

CCSS.7.G.A.2

Does a triangle with these side lengths exist?
47, 28, 70

• Yes

• No

• I don't know.

Tags

CCSS.7.G.A.2

Does a triangle with these side lengths exist?
20, 10, 9

• Yes

• No

• I don't know.

Tags

CCSS.7.G.A.2

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9

• 12

• 8

• 5