Determining an Obtuse Triangle: Learn Side Lengths and the Pythagorean Theorem

Discover how to identify if a triangle is obtuse using side lengths and the Pythagorean theorem.

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To determine if a triangle is obtuse based on side lengths, use the Pythagorean theorem in reverse: check if the square of the longest side is greater than the sum of the squares of the other two sides. If c² > a² + b², the triangle is obtuse.

FAQs & Answers

  1. What is an obtuse triangle? An obtuse triangle is a triangle with one angle that measures more than 90 degrees.
  2. How do I know if a triangle is obtuse? A triangle is obtuse if the square of the longest side is greater than the sum of the squares of the other two sides.
  3. What is the Pythagorean theorem? The Pythagorean theorem states that in a right triangle, the square of the longest side (hypotenuse) is equal to the sum of the squares of the other two sides.
  4. Can all triangles be classified as obtuse, acute, or right? Yes, all triangles can be categorized into obtuse, acute, or right triangles based on their angles.

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