Pythagoras

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The Pythagoras’ Theorem states that if&nbsp;\(\angle BCA=90{}^\circ \) then&nbsp;\(A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\) . 
The converse of Pythagoras’ Theorem would then state that if&nbsp;\(A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\) then&nbsp;\(\angle BCA=90{}^\circ \). 
I.e. If the square of the length of the longest side = the sum of the squares of the other two sides, then the angle opposite the longest side is a right angle. 
The converse of Pythagoras’ Theorem is true, note that not all converse mathematical statements are true.

The Pythagoras’ Theorem states that if \(\angle BCA=90{}^\circ \) then \(A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\) .  

The **converse of Pythagoras’ Theorem** would then state that if \(A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\) then \(\angle BCA=90{}^\circ \). 

I.e. If the square of the length of the longest side = the sum of the squares of the other two sides, then the angle opposite the longest side is a right angle. 

The converse of Pythagoras’ Theorem is true, note that not all converse mathematical statements are true. 

The Converse of Pythagoras Theorem

The Converse of Pythagoras Theorem

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