Understanding existence of triangles

Can these lengths form a triangle?

6, 4, 12

• yes

• no

Does a triangle with these

side lengths exist?

(Don't fall for this one.)

0, 11, 12

• Yes

• No

• I don't know.

Determine the # of triangles
Given a=20 b=150 A=100 °

• 0
• 1
• 2

• Two Triangles

• One Triangle

• None

8) 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

Determine if the following lengths will create a triangle.

101, 212, 313

• Yes

• No

What is the rule for determining if 3 lengths form a triangle?

• c+b>a
• a+b>c
• a+b<c
• c+a>b

Does a triangle with these side lengths exist?
11, 28, 16

• Yes
• No
• I don't know.

Determine what kind, if any, triangle is formed from the given sides:

6,10,17

• acute

• obtuse

• right

• not a triangle

Does a triangle with these side lengths exist?
5, 10, 15

• Yes
• No