1 Fundamentals of Mathematics
A sufficient condition that a triangle T be a right triangle is that $$a^2 + b^2 = c^2$$. An equivalent statement is
1) If T is not a right triangle then $$a^2 + b^2 = c^2$$
2) If $$a^2 + b^2 = c^2$$ then T is a right triangle.
3) If $$a^2 + b^2 \neq c^2$$ then T is not a right triangle.
4) T is a right triangle only if $$a^2 + b^2 = c^2$$
A triangle with sides a, b and c is said to be a right triangle if $${ a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$ or vice-versa.
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