Sideangle Theorem and Triangle Inequality

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

• I don't know.

• Cannot be determined

Identify the shortest side measure.

• QP

• QM

• MP

Identify the longest side measure.

• AC

• BA

• BC

Identify the smallest angle.

• ∠A

• ∠B

• ∠C

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

Trent made a statement about a triangle. Determine whether his statement is true or false.

• False

• True

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

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

Trent made a statement about a triangle. Determine whether his statement is true or false.

​ (a)  

• False

• True