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Question: given abc is a right triangle prove a2 b2...

Question details

Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2

The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:

Statement Justification
Draw an altitude from point C to AB
Let BC = a
CA = b
AB = c
CD = h
DB = x
AD = y
y + x = c
c a c b 9 a y bx
a2 = cy; b2 = cx
a2 + b2 = cy + b2
a2 + b2 = cy + cx
a2 + b2 = c(y + x)
a2 + b2 = c(c)
a2 + b2 = c2

Which is not a justification for the proof? (5 points)

Pieces of Right Triangles Similarity Theorem

Side-Side-Side Similarity Theorem

Substitution

Addition Property of Equality

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