Triangle Inequality Theorem

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Can the side lengths 3, 5, and 8 form a triangle?

Back

No, because 3 + 5 is not greater than 8.

Front

Identify the shortest side in a triangle with sides QP, QM, and MP if QM is the shortest.

Back

QM is the shortest side.

Front

What is the maximum length of the third side if two sides measure 7 in and 11 in?

Back

The maximum length of the third side is less than 18 in (7 + 11).

Front

What is the minimum length of the third side if two sides measure 7 in and 11 in?

Back

The minimum length of the third side is greater than 4 in (11 - 7).

Front

If a triangle has sides measuring 5, 12, and x, what must x be to form a triangle?

Back

x must be greater than 7 and less than 17.

Front

What is the sum of the lengths of two sides of a triangle with sides measuring 8 and 10?

Back

The sum is 18.

Front

If one side of a triangle measures 15 and the other measures 10, what is the range for the third side?

Back

The third side must be greater than 5 and less than 25.

Front

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

Back

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

Front

If a triangle has angles measuring 60 degrees, 70 degrees, and x degrees, what is x?

Back

x is 50 degrees.