Triangle Inequality Theorem (Ordering and Forming Triangles)

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 a triangle be formed with side lengths 15 in., 12 in., and 2 in.?

Back

No, because 15 + 12 is not greater than 2.

Front

Identify the longest side in a triangle with sides AC, BA, and BC.

Back

AC is the longest side.

Front

What is the range of possible lengths for the third side of a triangle with sides 7 mm and 4 mm?

Back

More than 3 but less than 11.

Front

List the side measures in order from shortest to longest: QM, QP, MP.

Back

MQ, MP, QP.

Front

If one side of a triangle is 8 cm and another is 5 cm, what is the maximum length of the third side?

Back

The maximum length is less than 13 cm.

Front

If two sides of a triangle are 10 m and 6 m, what is the minimum length of the third side?

Back

The minimum length is more than 4 m.

Front

What does it mean if the sum of two sides of a triangle equals the length of the third side?

Back

It means the three points are collinear and do not form a triangle.

Front

How do you determine if three lengths can form a triangle?

Back

Check if the sum of any two lengths is greater than the third length.

Front

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

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.