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How can you prove the Pythagorean Theorem?

\(a^2 + b^2 = c^2\)

 Aug 29, 2022
 #1
avatar+2455 
+1

Make a diagram like this: 

 

 

The area of the entire square is \((a+b)^2 = a^2 + b^2 + 2ab\)

 

The area can also be represented as the sum of the area of the 4 triangles and the square in the middle: \(c^2 + 2ab\)

 

Since they both represent the area of the square, we have the equation \(a^2 + b^2 + 2ab = c^2 + 2ab\)

 

Subtracting 2ab from both sides gives us \(\color{brown}\boxed{a^2 + b^2 = c^2}\)

 Aug 29, 2022
 #2
avatar+29 
-3

OMG, Thank you so much! I really appreciate the help!

NJColonial6  Aug 29, 2022
 #3
avatar+2455 
0

You're welcome!!

BuilderBoi  Aug 30, 2022

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