Triangle side lengths

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 have side lengths of 2, 2, and 5?

Back

No, because 2 + 2 is not greater than 5.

Front

What are the possible side lengths of a triangle if two sides are 7 and 10?

Back

The third side must be greater than 3 and less than 17.

Front

What is the minimum length of the third side of a triangle with sides 8 and 6?

Back

The minimum length is 3 (8 - 6).

Front

What is the maximum length of the third side of a triangle with sides 8 and 6?

Back

The maximum length is 14 (8 + 6).

Front

If a triangle has sides of lengths 5, 5, and x, what is the range of possible values for x?

Back

x must be greater than 0 and less than 10.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length.

Front

What is an isosceles triangle?

Back

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

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides have different lengths.

Front

Can a triangle have side lengths of 1, 2, and 3?

Back

No, because 1 + 2 is not greater than 3.