Triangle Inequality Theorem Practice

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 are 10 and 7, what is the range of possible lengths for the third side?

Back

Front

If two sides of a triangle are 8 and 12, what is the range of possible lengths for the third side?

Back

Front

List the side measures in order from shortest to longest: 5, 8, 3.

Back

3, 5, 8.

Front

What type of triangle has all sides of equal length?

Back

Equilateral triangle.

Front

What type of triangle has one angle greater than 90 degrees?

Back

Obtuse triangle.

Front

What type of triangle has one angle equal to 90 degrees?

Back

Right triangle.

Front

What is an isosceles triangle?

Back

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

Front

Which of these lengths CANNOT represent the sides of a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, 58 cannot represent the sides of a triangle.

Front

What is the formula to find the range of the third side of a triangle given two sides a and b?

Back