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

If a triangle has sides of lengths a, b, and c, what must be true?

Back

a + b > c, a + c > b, and b + c > a.

Front

What is the shortest side in a triangle with sides 3 cm, 4 cm, and 5 cm?

Back

3 cm.

Front

List the angles in a triangle with measures 30°, 60°, and 90° from smallest to largest.

Back

30°, 60°, 90°.

Front

If the longest side of a triangle is 10, what must be true about the other two sides?

Back

The sum of the other two sides must be greater than 10.

Front

Can the sides 2 cm, 6 cm, and 7 cm form a triangle?

Back

Yes, they can form a triangle.

Front

Which of the following sets of lengths cannot form a triangle: 2 cm, 6 cm, 7 cm or 3 cm, 10 cm, 15 cm?

Back

3 cm, 10 cm, 15 cm cannot form a triangle.

Front

What is the relationship between the angles and sides of a triangle?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

If one side of a triangle is 8 cm and another is 5 cm, what is the maximum length of the third side?

Back

The maximum length of the third side is less than 13 cm.

Front

What is the minimum length of the third side if two sides are 8 cm and 5 cm?

Back

The minimum length of the third side is greater than 3 cm.