Make conjectures about the Pythagorean Theorem in this visual activity.
[i]Answer these open ended questions on your own or with others to form deeper math connections. [/i]
1)Mova o controle deslizante para a posição mais à direita e use o botão que aparece para mostrar os comprimentos laterais dos quadrados. Para cada um dos três quadrados, escreva uma expressão que represente sua área.
2)Qual é a relação entre as áreas dos três quadrados?
3)Se você conhece os comprimentos dos dois lados curtos de um triângulo retângulo, como você poderia encontrar o comprimento do lado mais longo (hipotenusa)?[br]
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[/img]