Chapter 5 Geometry Review

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

What is the range of possible values for the third side of a triangle with sides of lengths 3 and 21?

Back

3 < x < 21.

Front

How do you determine the longest angle in a triangle?

Back

The longest angle in a triangle is opposite the longest side.

Front

If the sides of a triangle are 12, 9, and 2, can these lengths form a triangle?

Back

No, because 12 + 9 is not greater than 2.

Front

What is the definition of an obtuse angle?

Back

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.

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

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

How can you find the range of possible values for a variable in a triangle?

Back

Use the Triangle Inequality Theorem to establish inequalities based on the known side lengths.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

Subtract the sum of the known angles from 180 degrees.