Triangle Inequality Practice

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 two sides of a triangle are 5 and 5, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 10.

Front

If two sides of a triangle are 13 and 4, what is the minimum length of the third side?

Back

The minimum length of the third side is greater than 9.

Front

Can a triangle have sides of lengths 4, 4, and 4?

Back

Yes, a triangle can have sides of lengths 4, 4, and 4, as they satisfy the Triangle Inequality Theorem.

Tags

CCSS.7.G.A.2

Front

What is the range of possible lengths for the third side of a triangle with sides 5 and 5?

Back

The range is greater than 0 and less than 10.

Front

If one side of a triangle is 10, and the other two sides are 6 and 8, does it form a triangle?

Back

Yes, it forms a triangle because 6 + 8 > 10, 6 + 10 > 8, and 8 + 10 > 6.

Tags

CCSS.7.G.A.2

Front

What is the significance of the Triangle Inequality Theorem in geometry?

Back

It helps determine whether three given lengths can form a triangle.

Front

If the sides of a triangle are 7, 10, and x, what is the range of possible values for x?

Back

x must be greater than 3 and less than 17.

Front

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

Back

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

Tags

CCSS.7.G.A.2

Front

What is the relationship between the sides of a triangle and its perimeter?

Back

The perimeter of a triangle is the sum of the lengths of all three sides.

Tags

CCSS.3.MD.D.8