Teorema de Pitágoras

[u]Antecedentes:[br][/u]El[u] Teorema de Pitágoras [/u]tiene este nombre porque su demostración, sobre todo, es esfuerzo de la escuela Pitagórica. [br]El pitagorismo fue una corriente filosófica y matemática asociada al pensador griego Pitágoras, quien vivió en el siglo VI a.C. Aunque es difícil separar los aspectos históricos reales de las leyendas que rodean a Pitágoras, se le atribuye la fundación de la escuela Pitagórica donde a pesar de la época, podían estudiar tanto hombres como mujeres, y se aprendía matemáticas por la satisfacción de plantear y resolver problemas matemáticos en una época donde solo los arquitectos y los ingenieros eran obligados a estudiarlas.[br][br][br][b][u]TEOREMA DE PITÁGORAS[br][/u][/b][br]El teorema de Pitágoras dice que, en un [i]triángulo rectángulo[/i], el área del cuadrado construido sobre la hipotenusa es igual a la suma de las áreas de los cuadrados construidos sobre los catetos.[br][img width=390,height=314]https://www.smartick.es/blog/wp-content/uploads/2024/02/teorema-de-Pitagoras-2-1024x825.png[/img][br]En un triángulo rectángulo, los lados menores son los que forman el ángulo recto y se llaman catetos y el lado mayor se llama hipotenusa. [br][br]En el triángulo rectángulo de la imagen:[br][list][*]a y b son los catetos[/*][*]c es la hipotenusa[/*][/list][img]data:image/png;base64,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[/img][br][br][size=150][u]Resolver problemas utilizando el teorema de Pitágoras[/u][/size][br]Después de haber visto qué es el teorema de Pitágoras , vamos a ver un ejemplo de un problema que se resuelve utilizando el teorema de Pitágoras.[br][br]Enunciado del problema:[br]Queremos medir la altura de un árbol. A cierta hora del día, notamos que la sombra del árbol en el suelo mide 2,5 metros. Además, medimos la distancia desde la punta del árbol hasta el final de la sombra en el suelo, y esa distancia es de 4 metros. ¿Cuál es la altura aproximada del árbol?[br][br]Resolución del problema aplicando el teorema de Pitágoras:[br][list][*]Para calcular la altura del árbol, podemos usar el teorema de Pitágoras. [/*][*]Identificar qué lados del triángulo rectángulo formado por la sombra, el árbol y la distancia que une sus puntas tenemos. [/*][*]Desde ahora, nos permitimos asumir que el árbol es perfectamente recto si no, el triángulo ya no sería rectángulo y no podríamos utilizar el teorema de Pitágoras.[/*][*]La altura del árbol y la longitud de la sombra son los catetos del triángulo rectángulo y la distancia entre el punto más alto del árbol y la sombra sería la hipotenusa.[/*][/list][list=1][*]a es la altura del árbol[/*][/list][list=1][*]b es la longitud de la sombra[/*][*]c es la distancia desde la punta del árbol hasta el final de la sombra[/*][/list][img width=500,height=392]https://www.smartick.es/blog/wp-content/uploads/2024/02/ejercicio-teorema-de-Pitagonas-castellano.jpg[/img][br]c[sup]2[/sup]=a[sup]2[/sup]+b[sup]2[/sup][br]4[sup]2[/sup]=a[sup]2[/sup]+(2,5)[sup]2[/sup][br]a[sup]2[/sup]=4[sup]2[/sup]-(2,5)[sup]2[/sup][br]a=3,12[br][br]La altura del árbol aproximada es 3,12 metros.
[b]A jugar con el Teorema de Pitágoras!!!!![/b]
COMPLETA LA SIGUIENTE TABLA[br]1. Registren y completen en el cuadro los valores que se obtienen[br]en cada caso (Muevan los vertices B y C del triángulo hasta alcanzar estos valores).[br]2. Analicen la tabla y respondan: ¿qué relación existe entre las áreas de los cuadrados[br]construídos sobre los lados del triángulo?[br][br]Anotar todas las respuestas en el cuaderno de la materia.

Information: Teorema de Pitágoras