Aplicaciones del Teorema de Pitágoras

1.- Conocidos dos lados de un triángulo rectángulo, hallar el tercero.[br][br] 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[/img][br][br]2.- Averiguar si un triángulo es rectángulo.[br][img]data:image/png;base64,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[/img]
PREGUNTAS:
1.- Si los catetos de un triángulo rectángulo miden 5cm y 7cm respectivamente, calcula la longitud de la hipotenusa.
2.- Calcula la longitud de un cateto de un triángulo rectángulo cuya hipotenusa mide 20 m si el otro cateto mide 9 cm.
3.- Dados la longitud de los lados de los triángulos, indica de que tipo de triángulo se trata cada uno de ellos(rectángulo, obtusángulo o acutángulo).[br][br]a) 9cm, 12cm y 15 cm.[br]b) 5mm, 6mm y 7 mm.[br]c) 10cm,24cm y 26 cm.[br]d) 6m,14m y 25m (¡Ojo caso especial!)[br]
4.- Calcula la altura de un triángulo equilátero de 8 cm de lado
5.- Calcula la diagonal de un rectángulo de dimensiones 34x45 cm
Completaremos estos contenidos con ejercicios de nuestro libro de texto.
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Information: Aplicaciones del Teorema de Pitágoras