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16 January, 12:07

Find the perimeter of the triangle defined by the coordinates (9, 0), (-5, 0), and (-10, 6). (Round to nearest tenth)

A) 39.7 units

B) 39.8 units

C) 41.7 units

D) 41.8 units

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Answers (1)
  1. 16 January, 12:17
    0
    The distance formula is:

    d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

    We use the formula to find the perimeter of the triangle:

    (9, 0) and (-5, 0):

    d1 = root (( - 5-9) ^ 2 + (0-0) ^ 2)

    d1 = 14

    (9, 0) and (-10, 6):

    d2 = root (( - 10-9) ^ 2 + (6-0) ^ 2)

    d2 = 19.92485885

    (-5, 0) and (-10, 6):

    d3 = root (( - 10 - ( - 5)) ^ 2 + (6-0) ^ 2)

    d3 = 7.810249676

    The perimeter is:

    P = d1 + d2 + d3

    P = 14 + 19.92485885 + 7.810249676

    P = 41.73510853

    Rounding:

    P = 41.7 units

    Answer:

    C) 41.7 units
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