Inequalities in Triangles

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Can side lengths of 4, 4, and 4 form a triangle?

Back

Yes, they can form an equilateral triangle.

Front

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

Back

The larger the angle, the longer the opposite side.

Front

If two sides of a triangle are 16 and 10, what is the range for the length of the third side?

Back

The third side must be greater than 6 and less than 26.

Front

How do you determine the ascending order of angles in a triangle?

Back

Arrange the angles based on the lengths of their opposite sides.

Front

What type of triangle has all sides of equal length?

Back

An equilateral triangle.

Front

What type of triangle has one angle greater than 90 degrees?

Back

An obtuse triangle.

Front

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

Back

180 degrees.

Front

What is an isosceles triangle?

Back

A triangle with at least two sides of equal length.

Front

What is the definition of a scalene triangle?

Back

A triangle with all sides of different lengths.