Question: given abc is a right triangle prove a2 b2...
Question details
Given: ΔABC is a right triangle.
Prove: a^{2} + b^{2} =
c^{2}
The following twocolumn proof with missing justifications proves the Pythagorean Theorem using similar triangles:
Statement  Justification 

Draw an altitude from point C to  
Let
= a = b = c = h = x = y 

y + x = c  
a^{2} = cy; b^{2} = cx  
a^{2} + b^{2} = cy + b^{2}  
a^{2} + b^{2} = cy + cx  
a^{2} + b^{2} = c(y + x)  
a^{2} + b^{2} = c(c)  
a^{2} + b^{2} = c^{2} 
Which is not a justification for the proof? (5 points)
Pieces of Right Triangles Similarity Theorem 

SideSideSide Similarity Theorem 

Substitution 

Addition Property of Equality 