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25 September, 03:18

A triangle has an area of 30 cm². The base and height are scaled by a factor of 3.

What is the area of the resulting triangle?

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  1. 25 September, 03:37
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    The answer is 270 cm²

    The area (A) of a triangle with base b and height h is:

    A = b * h / 2

    A = 30 cm²

    Since the base and height are scaled by a factor of 3, that means that they are increased 3 times:

    b1 = 3b

    h1 = 3h

    A1 = b1 * h1 / 2

    A1 = 3b * 3h / 2

    A1 = 3 * 3 * b * h / 2

    A1 = 9 * b * h / 2

    A1 = 9 * A

    A1 = 9 * 30 cm²

    A1 = 270 cm²
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