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If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one?


the answer is 108, but i wana see how it was reached there

Respuesta :

Mehrdad

Answer:

108

Step-by-step explanation:

Ratio of area of both triangles = (Ratio of their corresponding sides)^2

→

[area (smaller triangle) / area (larger triangle)] = (1/3)^2

→

[12 / area (larger triangle)] = (1/3)^2 = 1/9

→

Area of larger triangle = (12×9)/1 =108cm

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