Question

Draw right triangle ABC by Construction. 2) Draw altitude CD with length h by Construction. 3) Let segment AC = b, segment CB = a, segment AB = c, segment AD = x, and segment DB = y by Labeling. 4) y + x = c by the Segment Addition Postulate. 5) c/a = a/y and c/b = b/x by the Pieces of Right Triangles Similarity Theorem. 6) b² = cx by the Cross Product Property and a² = cy by the Cross Product Property. 7) a² + b² = cy + b² by the Addition Property of Equality. 8) a² + b² = cy + cx by Substitution. 9) a² + b² = c times the quantity y + x, by the Distributive Property of Equality. 10) a² + b² =