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Verdich [7]
3 years ago
5

Si la altura del triángulo es 4 cm cuántos centímetros cuadrados mediría el área del triángulo al ampliarlo usando el factor de

escala de 4
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

Answer:

Para un triángulo de base B y altura H, el área se calcula como:

A = B*H/2

En este caso, tenemos un triángulo con altura igual a 4cm, entonces el área será:

A = (4cm)*B/2 = B*2cm

(Como no conocemos la base, no podemos obtener una respuesta exacta)

Si ampliamos el triángulo usando un factor de escala 4, entonces todas las medidas del triángulo son 4 veces más grandes, entonces la nueva altura es:

H' = 4*H = 4*4cm = 16cm

La nueva base será:

B' = 4*B  

Entonces la nueva área es:

A' = (16cm)*4B/2 = (8cm)*(4B) = (4*2cm)*(4B) = (4*4)*(2cm*B) = 16*(2cm*B)

Y 2cm*B era el área original del triángulo, entonces:

A' = 16*A

Esto nos dice que la nueva área será 16 veces el área original.

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