Triangle Side Lengths

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 a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, because 4 + 7 > 10, 4 + 10 > 7, and 7 + 10 > 4.

Front

What lengths cannot represent the sides of a triangle?

Back

Any set of lengths that does not satisfy the Triangle Inequality Theorem.

Front

If one side of a triangle is 5 and another is 10, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 5 and less than 15.

Front

What is the minimum length of a side in a triangle with sides 0, 11, and 12?

Back

A triangle cannot have a side length of 0; therefore, these lengths cannot form a triangle.

Front

Will the lengths 28, 30, and 58 form a triangle?

Back

No, because 28 + 30 is not greater than 58.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle with all sides of different lengths.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle with at least two sides of equal length.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle with all three sides of equal length.

Front

If a triangle has sides of lengths 7, 8, and 15, can it exist?

Back

No, because 7 + 8 is not greater than 15.