Question

scalene
obtuse
isosceles
right
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 triangle types

• Scalene triangle: All sides are of different lengths. The Pythagorean Theorem can be used if it is a right - scalene triangle. But the theorem is not exclusive to scalene triangles.
• Obtuse triangle: \(a^{2}+b^{2}
• Isosceles triangle: Two sides are equal. The Pythagorean Theorem can be used if it is a right - isosceles triangle. But it is not exclusive to isosceles triangles.
• Right triangle: By definition, for a right triangle with legs \(a,b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). The Pythagorean Theorem is derived for right - triangles.

Answer:

right