How to tell if a triangle is acute?
Understand the Problem
The question is asking for methods to determine whether a triangle is acute, meaning that all its interior angles are less than 90 degrees. We will explain the criteria that need to be checked for the angles of the triangle.
Answer
The triangle is acute if a² + b² > c².
The triangle is acute if the sum of the squares of the two smaller sides is greater than the square of the longest side.
Answer for screen readers
The triangle is acute if the sum of the squares of the two smaller sides is greater than the square of the longest side.
More Information
An acute triangle has all its angles less than 90°. Using the relationship between the squares of the sides helps in determining the type of triangle.
Tips
A common mistake is misidentifying the longest side. Ensure the correct identification to avoid incorrect classification.
