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What's the Triangle Sum Theorem?

Sarah Jenkins • • 5 min read
What's the Triangle Sum Theorem?

Theorem: The sum of the measures of the interior angles

interior angles
The measure of the exterior angle at a vertex is unaffected by which side is extended: the two exterior angles that can be formed at a vertex by extending alternately one side or the other are vertical angles and thus are equal.
› wiki › Internal_and_external_angles
of a triangle is 180°.

What is the triangle sum theorem used for?

The Triangle Sum Theorem is very helpful when looking for missing angle measurements inside of a triangle. This theorem states that the sum of the interior angles of any triangle will equal 180 degrees.

What is the shortest side of a 30 60 90 triangle?

And so on. The side opposite the 30° angle is always the smallest, because 30 degrees is the smallest angle. The side opposite the 60° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle.

Sarah Jenkins
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Sarah Jenkins

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.