Triangle Inequalities

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

If the sides of a triangle are 5, 7, and 10, can a triangle be formed?

Back

Yes, because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.

Front

Order the sides of a triangle with lengths 8, 3, and 5 from smallest to largest.

Back

3, 5, 8.

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

Back

The length of the third side must be greater than 2 and less than 14.

Front

Name the angles of a triangle with sides 4, 5, and 6 from smallest to largest.

Back

The angles are opposite the sides: 4 (smallest), 5, 6 (largest).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

Can a triangle be formed with side lengths 2, 2, and 5?

Back

No, because 2 + 2 is not greater than 5.

Front

What is an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length.

Front

What is a scalene triangle?

Back

A scalene triangle has all sides of different lengths.