5.4 Inequalities in One Triangle

Front

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

Back

In a triangle, the smallest angle is opposite the smallest side, and the largest angle is opposite the largest 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 5, 10, and 15?

Back

No, because 5 + 10 is not greater than 15.

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

If one angle of a triangle measures 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is an obtuse triangle?

Back

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

Front

What is an acute triangle?

Back

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

Front

How do you determine the longest side of a triangle?

Back

The longest side of a triangle is opposite the largest angle.

Front

What is the relationship between the angles Q, R, and P if R < P < Q?

Back

Angle R is the smallest, angle P is in the middle, and angle Q is the largest.

Front

If a triangle has sides of lengths 7, 24, and 25, can it be classified as a right triangle?

Back

Yes, because 7^2 + 24^2 = 25^2.