Triangle Side Lengths and Properties

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 a triangle has sides of lengths 8 and 15, what is the range of possible lengths for the third side?

Back

The length of the third side must be between 7 and 23.

Front

What does it mean if one side of a triangle is greater than another?

Back

If one side is greater than another, it means that the longer side can potentially form a triangle with the other two sides, following the Triangle Inequality Theorem.

Front

List the side lengths of a triangle in order from shortest to longest: 5, 12, 9.

Back

5, 9, 12.

Front

Which of the following lengths cannot represent the sides of a triangle: 2, 4, 5, 10?

Back

10 cannot represent the sides of a triangle with lengths 2, 4, and 5.

Front

What is the relationship between the lengths of the sides of a triangle?

Back

The lengths of the sides of a triangle must satisfy the Triangle Inequality Theorem.

Front

If QT < ST, what can we infer about the lengths of QT and ST?

Back

QT is shorter than ST.

Front

What is the minimum length of the third side of a triangle if the other two sides are 8 and 15?

Back

The minimum length of the third side must be greater than 7.

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

What is the maximum length of the third side of a triangle if the other two sides are 8 and 15?

Back

The maximum length of the third side must be less than 23.