If three line segments a, B and C satisfy that a square equals C square minus b square, is the triangle formed by these three line segments a right triangle? Why? A right triangle is only if it satisfies the Pythagorean theorem

That is to satisfy the Pythagorean theorem that a square equals C square minus b square!

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1. Proof: if the square of two sides of a triangle is equal to the square of the third side, then the triangle is a right triangle Known: Verification: prove:
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