The Triangle Inequality Theorem and Pythagorean

Can the following side measures form a triangle?
  3, 5, 8 

• 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

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

Will these three sides form a triangle?

• yes

• no

• A) a + b < c

• B) b + c = a

• C) b + c > a

• D) a + c < b

Two sides of a triangle have the following measures. Find the range of possible measures for the third side.

• 4 < x < 16

• 6 < x < 16

• 5 < x < 16

• 4 < x < 15

Max cut strips of plywood for a home improvement project. Two of the strips were 8 inches each and the third strip was 14 inches. Could Max make a triangle with these strips of plywood?​ (a)   because the sum of the 2 shorter sides is ​ (b)   the longest side.

• Yes

• greater than

• No

• less than

• A) a=2 b=7 c=10

• B) a=5 b=7 c=9

• C) a=6 b=2 c=10

• D) a=9 b=3 c=12

Measurements of 15 ft, 15 ft, and ​​ (a)   form a triangle.

• 17 ft

• 0 ft

• 30 ft

• 31 ft

• 32 ft

Noah cut strips of plywood for a home improvement project. Two of the strips were 14 inches each and the third strip was 30 inches. Could Noah make a triangle with these strips of plywood?

​ ​ (a)   because the sum of the 2 shorter sides is ​ ​ (b)   the longest side.

• No

• less than

• Yes

• greater than