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4. what type of polygon is needed to use the pythagorean theorem? acute…

Question

  1. what type of polygon is needed to use the pythagorean theorem?

acute triangle
rectangle
isosceles triangle
right triangle

Explanation:

Brief Explanations

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.

Answer:

right triangle