Assertion: right triangle's angle | /r/CapableOf | violate the pythagorean theorem
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text: For example, in spherical geometry, all three sides of the right triangle (say a, b, and c) bounding an octant of the unit sphere have length equal to π/2, and all its angles are right angles, which violates the Pythagorean theorem because a 2 + b 2 = 2 c 2 > c 2 {\displaystyle a^{2}+b^{2}=2c^{2}>c^{2}} .