5.4 Inequalities in One Triangle

Front

Order the sides of a triangle from greatest to least based on their lengths.

Back

The sides should be ordered as follows: b, c, a.

Front

Can a triangle be constructed with sides of lengths 9, 16, and 8?

Back

Yes, it is possible to construct such a triangle.

Front

Where is the smallest angle located in a triangle?

Back

The smallest angle is located across from the smallest side.

Front

How to find the largest angle in a triangle?

Back

The largest angle is located across from the longest side.

Front

What are the possible values for x if the triangle inequality states that the sum of the lengths of any two sides must be greater than the length of the third side?

Back

The possible values for x are 3 < x < 17.

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

Back

It is an isosceles triangle.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side.

Front

How do you determine if three lengths can form a triangle?

Back

Check if the sum of the lengths of any two sides is greater than the length of the third side.

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.