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Qwerty90 Group Title

Gina and Sean wrote the following proofs. Gina’s Proof: Step 1: Area of PQRS = (a + b) 2 = a2 + b2 + 4ab Step 2: Area of 4 triangles = 4ab Step 3: Area of KLMN = c2 = area of PQRS – area of 4 triangles = a2 + b2 + 4ab – 4ab Hence, c2 = a2 + b2 Sean’s Proof: Step 1: Area of triangle EAF = ab; hence the area of 4 triangles = 4ab Step 2: Area of square ABCD = (a – b) 2 = a2 + b2 – 4ab Step 3: Area of EFGH = c2 = Area of 4 triangles + area of ABCD = 4ab + a2 + b2 – 4ab Hence c2 = a2 + b2 Which statement gives the correct conclusion about the proof

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