6.8A, I can explain why three sides form a triangle

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 measure 15 and 5 feet, what is the maximum length for the third side to still form a triangle?

Back

The maximum length for the third side must be less than 20 feet (15 + 5).

Front

What is the minimum length for the third side if two sides measure 15 and 5 feet?

Back

The minimum length for the third side must be greater than 10 feet (15 - 5).

Front

Will the sides measuring 10, 4, and 7 form a triangle?

Back

No, because 10 is not less than 4 + 7.

Front

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

Back

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 measure 25 and 15 feet, what is the maximum length for the third side?

Back

The maximum length for the third side must be less than 40 feet (25 + 15).

Front

If two sides of a triangle measure 25 and 15 feet, what is the minimum length for the third side?

Back

The minimum length for the third side must be greater than 10 feet (25 - 15).

Front

Will the sides measuring 8, 3, and 5 form a triangle?

Back

Yes, because 8 < 3 + 5.

Front

What is the maximum length for the third side if two sides measure 2.25 in. and 5.55 in.?

Back

The maximum length for the third side must be less than 7.8 in. (2.25 + 5.55).

Front

What is the minimum length for the third side if two sides measure 2.25 in. and 5.55 in.?

Back

The minimum length for the third side must be greater than 3.3 in. (5.55 - 2.25).