Triangle Inequalities

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 a triangle has sides of lengths 3, 4, and 5, does it satisfy the Triangle Inequality Theorem?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

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

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle is opposite the shortest side of the triangle.

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal parts.

Front

Where is the largest angle located in a triangle?

Back

The largest angle is located across from the longest side.

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

Back

It is an isosceles triangle.

Front

What can you conclude if one angle of a triangle is greater than 60 degrees?

Back

The side opposite that angle is longer than the side opposite a 60-degree angle.