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Knowing a= 225 m and b/c = 4/3, calculate the elements of the right triangle

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Answer to a math question Knowing a= 225 m and b/c = 4/3, calculate the elements of the right triangle

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Eliseo
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Dado que a = 225 m y b/c = 4/3, podemos establecer las siguientes relaciones en un triángulo rectángulo:

- Teorema de Pitágoras: a^2 = b^2 + c^2 .
- Relación entre los lados b y c: b = 4x y c = 3x donde x es un valor desconocido.

Sustituyendo estas relaciones en la ecuación de Pitágoras, obtenemos:

225^2 = (4x)^2 + (3x)^2

Resolviendo la ecuación:

225^2 = 16x^2 + 9x^2
225^2 = 25x^2
x^2 = \frac{225^2}{25}
x^2 = 2025
x = 45

Por lo tanto, los elementos del triángulo rectángulo son:

- Lado b: b = 4x = 4(45) = 180 m.
- Lado c: c = 3x = 3(45) = 135 m.

\textbf{Respuesta:} b = 180 m, c = 135

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