Triangle side lengths

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

Given two sides of a triangle, how can you determine the range of possible lengths for the third side?

Back

The length of the third side must be greater than the difference of the two sides and less than the sum of the two sides.

Front

What are the side lengths of a triangle if the longest side is 20 and the other two sides are 13 and 17?

Back

The side lengths are 20, 17, and 13.

Front

Can a triangle be formed with side lengths of 4, 7, and 10?

Back

Yes, a triangle can be formed with these side lengths.

Front

What is the unique property of an equilateral triangle?

Back

An equilateral triangle has all three sides of equal length and all three angles equal to 60 degrees.

Front

How many unique triangles can be formed with three equal side lengths?

Back

Exactly one unique triangle can be formed with three equal side lengths.

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

Can the sides of a triangle have lengths of 4, 11, and 13?

Back

Yes, these lengths can form a triangle.

Front

What is the maximum length of the third side of a triangle with sides 13 and 4?

Back

The maximum length of the third side is less than 17 (13 + 4).

Front

What is the minimum length of the third side of a triangle with sides 13 and 4?

Back

The minimum length of the third side is greater than 9 (13 - 4).