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converse of the Pythagorean theorem

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Please give an example of a mathematical statement whose converse is not true.

Prop. 48: If in a triangle the square on one of the sides be equal to the squares on the remaining two sides of the triangle, the angle contained by the remaining two sides of the triangle is right.

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Solution Summary

Euclid's proposition 48 is clarified in this solution.

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Here's an example of a statement, whose converse is not true.

Statement: If two integers are even, then the sum of the integers is even. This statement is true. On the other hand, its converse is not true.

Converse: If the sum of two integers is even, then the ...

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