Triangle Inequality Theorem Flashcardizz

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

If the lengths of two sides of a triangle are 5 cm and 7 cm, what is the range of possible lengths for the third side?

Back

The range for the third side is between 2 cm and 12 cm (i.e., 2 < third side < 12).

Front

Can the side lengths 2 cm, 6 cm, and 7 cm form a triangle?

Back

Yes, because 2 + 6 > 7, 2 + 7 > 6, and 6 + 7 > 2.

Front

What is the minimum length of the third side if the other two sides are 10 cm and 6 cm?

Back

The minimum length of the third side must be greater than 4 cm (i.e., third side > 4 cm).

Front

What is the maximum length of the third side if the other two sides are 10 cm and 6 cm?

Back

The maximum length of the third side must be less than 16 cm (i.e., third side < 16 cm).

Front

Can the side lengths 3 ft, 5 ft, and 8 ft form a triangle?

Back

No, because 3 + 5 is not greater than 8.

Front

What is the range of values for x if the two sides of a triangle are 8 and 15?

Back

The range for x is between 7 and 23 (i.e., 7 < x < 23).

Front

If one side of a triangle is 4 cm and another is 7 cm, what is the range for the third side?

Back

The range for the third side is between 4 cm and 11 cm (i.e., 3 < third side < 11).

Front

What does it mean if the side lengths do not satisfy the Triangle Inequality Theorem?

Back

It means that the given lengths cannot form a triangle.

Front

If the side lengths are 5 cm, 5 cm, and 10 cm, can they form a triangle?

Back

No, because 5 + 5 is not greater than 10.