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

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

Back

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

Tags

CCSS.7.G.A.2

Front

Can the side lengths 33, 16, and 17 form a triangle?

Back

No, because 16 + 17 is not greater than 33.

Tags

CCSS.7.G.A.2

Front

Can the side lengths 4 cm, 7 cm, and 10 cm form a triangle?

Back

Yes, because 4 + 7 is greater than 10.

Tags

CCSS.7.G.A.2

Front

Which lengths cannot represent the sides of a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, and 58 cannot represent the sides of a triangle.

Front

Does a triangle with side lengths 15, 12, and 9 exist?

Back

Yes, because 12 + 9 is greater than 15.

Tags

CCSS.7.G.A.2

Front

What is an example of side lengths that can form a triangle?

Back

5, 6, and 10 can form a triangle because 5 + 6 > 10.

Tags

CCSS.7.G.A.2

Front

What is an example of side lengths that cannot form a triangle?

Back

1, 2, and 3 cannot form a triangle because 1 + 2 is not greater than 3.

Tags

CCSS.7.G.A.2

Front

If one side of a triangle is 10, what is the maximum length of the other two sides?

Back

The sum of the lengths of the other two sides must be greater than 10.

Front

What is the minimum length of one side of a triangle if the other two sides are 7 and 10?

Back

The minimum length must be greater than 3 (10 - 7).