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12 February, 20:43

An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a side of the new triangle?

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Answers (2)
  1. 12 February, 20:45
    0
    Answer: 18 units.

    Step-by-step explanation:

    When a segment 'm' is dilated by a scale factor 'k', then the measure of new dilated segment will be 'km' [i. e. New side length = scale factor is multiplied to the original side-length].

    Given : An equilateral triangle is dilated by a scale factor of 3.

    [Note an equilateral triangle has all its side-lengths are equal.]

    Side-length of the original triangle = 6 units

    Then, the measure of a side of the new triangle = Scale factor x Original side-length

    = 3 x 6 = 18 units

    Hence, the measure of a side of the new triangle = 18 units.
  2. 12 February, 21:02
    0
    18

    Step-by-step explanation:

    Let the side of the triangle be a and that of the new one be a'.

    a'/a = 3/1 Insert the value of a

    a'/6 = 3 Multiply each side by 6

    a' = 18

    The measure of a side of the new triangle is 18.
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