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

Can the lengths 8, 10, and 20 be the sides of a triangle?

Back

No, because 8 + 10 is not greater than 20.

Front

If two sides of a triangle are 12 and 12, what is the range for the third side?

Back

Front

Can the lengths 10, 18, and 12 be the sides of a triangle?

Back

Yes, because 10 + 12 > 18, 10 + 18 > 12, and 12 + 18 > 10.

Front

If two sides of a triangle are 9 and 6, what is the range for the third side?

Back

Front

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

Back

The possible length of side AC could be 16 inches.

Front

What is the minimum length of a side in a triangle given the other two sides?

Back

The minimum length of a side must be greater than the difference of the other two sides.

Front

What is the maximum length of a side in a triangle given the other two sides?

Back

The maximum length of a side must be less than the sum of the other two sides.

Front

If the sides of a triangle are 5, 7, and x, what is the range for x?

Back

Front

What does it mean if three lengths do not satisfy the Triangle Inequality Theorem?

Back

It means that those lengths cannot form a triangle.