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Question
- what type of polygon is needed to use the pythagorean theorem?
acute triangle
rectangle
isosceles triangle
right triangle
The Pythagorean theorem, \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs of a right - angled triangle and \(c\) is the hypotenuse, is specifically applicable to right triangles. An acute triangle (\(a^{2}+b^{2}>c^{2}\) for all sides), a rectangle (a quadrilateral, not directly using the Pythagorean theorem in its basic form without dividing into triangles), and an isosceles triangle (which may or may not be right - angled) do not have the Pythagorean theorem as a fundamental property in the same way as a right triangle.
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right triangle