Triangle Inequality and Sum

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

• A
• B
• C
• D

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

Do the following side lengths form a triangle?
5, 6, 9

• Yes
• No

The sum of the lengths of any two sides of a triangle should be longer than the longest side.

• True
• False

If triangle ABC ≅ DEF, which two side are congruent?

• Segment BC ≅ segment DE
• segment BC ≅ segment DF
• segment BC ≅ segment EF

Find the measure of the indicated angle. 

• 26
• 36
• 85
• 144