Triangle Inequalities

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

• A
• B
• C
• D

What is the correct order of the lengths of the streets from longest to shortest?

• A
• B
• C
• D

Tags

CCSS.HSG.CO.C.10

Which angle belongs in the middle?

• <R
• <S
• <T

Tags

CCSS.HSG.CO.C.10

Which angle is the largest?

• <R
• <S
• <T

Tags

CCSS.HSG.CO.C.10

Do the following side lengths form a triangle?
3, 10, 7

• Yes
• No

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

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 9 and 22.

• 13 < x < 31
• 13 > x > 31
• 31 > x < 13
• 31 < x < 13

Describe the possible lengths for the third side of the triangle given the two sides 9 and 22.

• 13 < x < 31
• 13 > x > 31
• 31 > x < 13
• 31 < x < 13

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