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The pythagorean theorem is derived from the axioms of euclidean geometry, and in fact, were the pythagorean theorem to fail for some right triangle, then the plane in which this triangle is contained cannot be euclidean. This means that the square of the hypotenuse's length is specifically equal to the sum of the squares of the other two sides only in right triangles. No, the pythagorean theorem only works on right triangles, but it will work on any right triangle
This is because the pythagorean theorem states that length of leg a squared plus the length of. The pythagorean theorem only applies to right triangles, as it relies on a unique relationship defined by the right angle It’s truly a gem in the world of mathematics
Clarification on its applicability beyond right triangles
The pythagorean theorem isn’t only limited to right triangles It can be applied to any triangle that has a right angle It can solve geometric problems, not just those involving right triangles. Is it a right angle
It works the other way around, too When the three sides of a triangle make a2 + b2 = c2, then the triangle is right angled. Also draws a downloadable picture of triangle based on your input.
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