Question

the pythagorean theorem only works on which triangle?

Explanation:

Step1: Recall the Pythagorean Theorem

The Pythagorean Theorem is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs of a right - triangle and \(c\) is the hypotenuse.

Step2: Analyze the nature of triangles

• Isosceles triangles: Can be acute, obtuse or right - angled. The Pythagorean Theorem does not apply to non - right isosceles triangles.
• Scalene triangles: Can be acute, obtuse or right - angled. The Pythagorean Theorem does not apply to non - right scalene triangles.
• Obtuse triangles: Do not satisfy \(a^{2}+b^{2}=c^{2}\) (instead \(a^{2}+b^{2}
• Right triangles: By definition, satisfy the Pythagorean Theorem \(a^{2}+b^{2}=c^{2}\)

Answer:

right