Ejemplo 3. Cuadrado de área doble

[i]Dado un cuadrado ABCD, construir un nuevo cuadrado cuya área sea el doble de la anterior.[br][br][br]Comenzaremos dibujando un cuadrado utilizando la herramienta [b]Polígono regular[/b].[br][br][img width=189,height=182]data:image/png;base64,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[/img][br][br]Si el lado del cuadrado es x, su área será x[sup]2[/sup]. Por lo que la medida de la diagonal se podrá obtener[br]aplicando el teorema de Pitágoras.[br][br][img width=192,height=185]data:image/png;base64,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[/img]    [img width=158,height=15]data:image/png;base64,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[/img][br][br] [br]Observando la expresión anterior, podemos construir un cuadrado sobre la diagonal cuya área será el doble de la del cuadrado inicial.[br][br][br][img width=254,height=250]data:image/png;base64,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[/img][br][/i]

Information: Ejemplo 3. Cuadrado de área doble