Pythagorean Inequality

Use the Pythagorean Inequality Theorem to determine if a triangle with the given side lengths is acute, right, or obtuse.

• \(c^2<a^2+b^2\) → Acute
• \(c^2=a^2+b^2\) → Right
• \(c^2>a^2+b^2\) → Obtuse

Remember that if \(c ≥ a + b\), then it can't be a triangle.

Triangle Type: Acute Right Obtuse Not Possible