Given: Î"ABC is a right triangle. Prove: a2 b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right triangles BDC and CDA. CD measures h units, BD measures y units, DA measures x units. The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles: Statement Justification Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b segment AB = c segment CD = h segment DB = y segment AD = x y x = c c over a equals a over y and c over b equals b over x 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?.