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Converse Pythagorean Theorem

Rule

Converse Pythagorean Theorem

For a triangle with sides aa and b,b, and c,c, if the equality a2+b2=c2 a^2+b^2=c^2 holds true, the triangle is a right triangle.

The equality holds true for the given triangle, since 32+42=52.3^2+4^2=5^2. The theorem then states that it is a right triangle. The right angle is opposite side c.c. The theorem is named the Converse Pythagorean Theorem because the same thing holds true but in opposite order.