Triangle Inequality Flashcard

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 a triangle has sides of lengths 5 inches and 12 inches, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 7 inches and less than 17 inches.

Front

Can a triangle be formed with side lengths 3, 4, and 8?

Back

No, because 3 + 4 is not greater than 8.

Front

What is the minimum length of a side in a triangle if the other two sides are 6 inches and 10 inches?

Back

The minimum length must be greater than 4 inches.

Front

If one side of a triangle is 15 inches and the other two sides are 10 inches and 5 inches, can a triangle be formed?

Back

No, because 10 + 5 is not greater than 15.

Front

What is the maximum length of a side in a triangle if the other two sides are 7 inches and 9 inches?

Back

The maximum length must be less than 16 inches.

Front

In triangle ABC, if AB = 10 inches and BC = 17 inches, what could be the length of AC?

Back

AC could be any length greater than 7 inches and less than 27 inches.

Front

Do the side lengths 2, 2, and 4 form a triangle?

Back

No, because 2 + 2 is not greater than 4.

Front

Can a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, because 4 + 7 > 10.

Front

What is the relationship between the sides of a triangle?

Back

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