Can These Sides Make a Triangle

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

• Yes

• No

• I don't know.

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}

Select the measurements that match the sides of a triangle.

• 7, 9, 19

• 7, 12, 1

• 7, 7, 7

• 7, 7, 16

Determine if the three sides lengths listed can form a triangle

• no

• 1 1/2 mi, 1/2 mi,

  1 mi

• no

• 5.7cm, 6cm, 20cm

• yes

• 13in, 14in,

  15in

• yes

• 35m, 72m,

  38m

• m∠C < m∠E
• m∠E > m∠D
• m∠D < m∠C
• m∠E > m ∠C

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

• 4, 4, 4

• 5, 5, 10

• 3, 6, 9

• 5, 7, 11

• 13, 5, 6

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

• Yes

• No

Which of the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

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

• Yes, only one

• No

• Yes, many

How many different triangles can you make if you are given these measurements?

• 0

• 1

• 2

• 3

• Infinitely many