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

If two sides of a triangle are 6 and 15, what is the range for the length of the third side?

Back

The length of the third side must be between 9 and 21.

Front

Can the sides 8, 7, and 2 form a triangle?

Back

Yes, they can form a triangle.

Front

Can the sides 3, 4, and 9 form a triangle?

Back

No, they cannot form a triangle.

Front

Can the sides 6, 9, and 8 form a triangle?

Back

Yes, they can form a triangle.

Front

Can the sides 12, 18, and 2 form a triangle?

Back

No, they cannot form a triangle.

Front

What is the minimum length of the third side if two sides are 6 and 15?

Back

The minimum length of the third side must be greater than 9.

Front

What is the maximum length of the third side if two sides are 6 and 15?

Back

The maximum length of the third side must be less than 21.

Front

If one side of a triangle is 10, what must be true about the other two sides?

Back

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

Front

What happens if the sum of two sides equals the length of the third side?

Back

If the sum of two sides equals the length of the third side, the three points are collinear, and they do not form a triangle.