Triangle Inequalities Practice

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

How do you determine the largest angle in a triangle?

Back

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

Front

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

Back

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

Front

If a triangle has sides of lengths 7, 10, and 12, does it satisfy the Triangle Inequality Theorem?

Back

Yes, because 7 + 10 > 12, 7 + 12 > 10, and 10 + 12 > 7.

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 a missing angle in a triangle?

Back

To find a missing angle, subtract the sum of the known angles from 180 degrees.

Front

What does it mean for a triangle to be valid based on its side lengths?

Back

A triangle is valid if the lengths of its sides satisfy the Triangle Inequality Theorem.

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 shortest side of a triangle related to?

Back

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

Front

Can a triangle have sides of lengths 5, 10, and 15?

Back

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