Triangle Inequality Theorems

Front

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

Back

greater than

Front

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

Back

3 cm, 10 cm, 15 cm

Front

If x is the length of a side of a triangle, and the other two sides are 8 and 11, what must be true about x?

Back

x is longer than 3 and shorter than 19.

Front

Two of the smaller sides of a triangle are 8 feet and 11 feet. What is the smallest possible length of the third side?

Back

20 feet

Front

Name the smallest angle in a triangle where the sides are 5 cm, 5 cm, and 8 cm.

Back

∠B (the angle opposite the shortest side)

Front

What is the maximum length of the third side if the other two sides are 7 cm and 10 cm?

Back

16 cm (7 + 10 - 1)