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 two sides of a triangle are 8 and 12, what is the range of possible lengths for the third side?

Back

Front

Which of the following sets can represent the lengths of the sides of a triangle: {2,5,9}, {6,6,7}, {6,4,2}, {7,8,1}?

Back

Only {6,6,7} can represent the lengths of the sides of a triangle.

Front

In triangle ABC, if side AB is 10 inches and side BC is 17 inches, what could be the length of side AC?

Back

The length of side AC could be 16 inches.

Front

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

Back

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

Front

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

Back

Front

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

Back

Front

If one side of a triangle is 5 and another is 9, what is the maximum length of the third side?

Back

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length.