Triangle Inequality Theorem

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

Given two sides of a triangle measuring 7 mm and 4 mm, what is the range of possible lengths for the third side?

Back

3 < x < 11

Front

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

Back

Yes, they can form a triangle.

Front

What is the condition for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

Which of the following sets of lengths can form a triangle: 2 cm, 6 cm, 7 cm?

Back

Yes, they can form a triangle.

Front

Which of the following does not represent the lengths of the sides of a triangle: 3 cm, 10 cm, 15 cm?

Back

No, these lengths cannot form a triangle.

Front

If the sides of a triangle are 7, 7, and 19, can they form a triangle?

Back

No, they cannot form a triangle.

Front

What is the minimum length of the third side if the other two sides are 5 cm and 8 cm?

Back

The minimum length is 4 cm.

Front

What is the maximum length of the third side if the other two sides are 5 cm and 8 cm?

Back

The maximum length is 12 cm.

Front

If a triangle has sides measuring 5 cm, 5 cm, and 10 cm, can it exist?

Back

No, it cannot exist.