Triangle Inequality Theorem

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

Which of the following side lengths form a triangle? 40, 25, 70; 25, 25, 75; 25, 35, 60; 75, 30, 100

Back

75, 30, 100

Front

Which of the following side lengths form a triangle? 1, 2, 3; 5, 7, 8; 6, 6, 14; 80, 20, 50

Back

5, 7, 8

Front

Do the following measurements form a triangle? 65 mm, 32 mm, 33 mm

Back

No

Front

What is the range of possible third side measures using 10 and 15? 9 < x < 16; 10 < x < 15; 1 < x < 5; 5 < x < 25

Back

5 < x < 25

Front

The _________________ states that the sum of any two sides of a triangle must be greater than the third side.

Back

Inequality Theorem

Front

If two sides of a triangle are 8 cm and 6 cm, what is the range of possible lengths for the third side?

Back

2 < x < 14

Front

True or False: A triangle can have sides measuring 3 cm, 4 cm, and 8 cm.

Back

False

Front

What is the minimum length of the third side if the other two sides are 7 cm and 10 cm?

Back

4 cm (7 + 4 > 10) and (10 + 4 > 7) must hold true.

Front

If a triangle has sides of lengths 5 cm, 12 cm, and x cm, what is the range of possible values for x?

Back

7 < x < 17