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Calcula la diagonal de un rectángulo cuyos lados tienen las siguientes medidas.

a. 5 dm y 4 dm
b. 8 cm y 6 cm


Sagot :

Las longitudes de las diagonales son √41 dm y 10 cm respectivamente

La medida de la diagonal de un rectángulo: de lado l1 y l2 es igual a

d² = (l1)² + (l2)²

La diagonal entonces es: utilizamos la fórmula dadas para los lados dados y aplicando raíz en la ecuación

A. 5dm y 4dm

d = √((5 dm)² + (4 dm)²) = √(25 + 16) dm = √41 dm

B. 8cm y 6cm

d = √((8 cm)² + (6 cm)²) = √(64 + 36) cm = √100 cm = 10 cm .

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