Triangle Inequality Theorem

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

Will the side lengths 4 in, 6 in, and 4 in form a triangle?

Back

YES, Isosceles

Front

Identify the longest side in a triangle with sides AC, BA, and BC.

Back

AC

Front

What is the range of values for x if two sides of a triangle measure 4 and 12?

Back

between 8 and 16

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

Front

List the side measures in order from shortest to longest: QM, QP, MP.

Back

MQ, MP, QP

Front

If one side of a triangle is 5 and another is 7, what is the maximum length of the third side?

Back

11 (5 + 7 - 1) because it must be less than the sum of the other two sides.

Front

If the sides of a triangle are 3, 4, and x, what is the range of possible values for x?

Back

x must be greater than 1 and less than 7 (1 < x < 7).

Front

What type of triangle is formed by sides of equal length?

Back

Equilateral triangle.

Front

What type of triangle is formed by two sides of equal length?

Back

Isosceles triangle.