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 9 and 7, what is the range of possible measures for the third side?

Back

Front

Can the sides 10, 18, and 12 form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

Front

Can the sides 9, 12, and 22 form a triangle?

Back

No, they do not satisfy the Triangle Inequality Theorem.

Front

If two sides of a triangle are 10 and 8, what is the range of possible measures for the third side?

Back

Front

Can the sides 6, 5, and 8 form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

Front

What is the minimum length of the third side if the other two sides are 9 and 7?

Back

Front

What is the maximum length of the third side if the other two sides are 9 and 7?

Back

Front

If the sides of a triangle are 3, 4, and 5, can they form a triangle?

Back

Yes, they satisfy the Triangle Inequality Theorem.

Front

What is the condition for three lengths to form a triangle?

Back

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