Angle Sum Triangle Inequality Theorems

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

Which of these lengths CANNOT represent the sides of a triangle?

Which two angles are the remote interior angles to Angle W?

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

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.

Which equation can be used to find the value of x?

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.

7. State if the three numbers can be the measures of the sides of a triangle.

Will these side lengths form a triangle?