Inequalities in One Triangle

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

How do you determine the largest angle in a triangle?

Back

The largest angle in a triangle is located across from the longest side.

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

Can a triangle be formed with sides of lengths 10, 9, and 2?

Back

No, because 10 + 2 is not greater than 9.

Front

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

Back

The third angle can be found by subtracting the sum of the known angles from 180 degrees.

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 do you order the sides of a triangle based on their lengths?

Back

Order the sides from greatest to least based on the corresponding angles: the largest angle is opposite the longest side.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90 degrees.