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

If two sides of a triangle are 27 and 39, what is the range for the length of the third side?

Back

The length of the third side must be between 12 and 66.

Front

The sum of the lengths of any two sides of a triangle is _____ than the third side.

Back

greater

Front

Can the sides 8, 9, and 10 form a triangle?

Back

Yes, they can form a triangle.

Front

What is the largest side in triangle BCD if the segments are BC, DB, and DC?

Back

Segment DB

Front

If a triangle has sides XZ= 18 and XY= 4, what is the length of YZ?

Back

21

Front

What is the minimum length of the third side if two sides are 5 and 7?

Back

The minimum length of the third side is 3.

Front

What is the maximum length of the third side if two sides are 5 and 7?

Back

The maximum length of the third side is 11.

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

The three points are collinear, and they do not form a triangle.