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23 August, 07:53

The coordinates of the vertices of a triangle are (-4,2), (5-1), and (-3,-2).

What is the perimeter of the triangle, to the nearest tenth of a unit?

A: 13.1 units

B: 19.6 units

C: 21.7 units

D: 38.2 units

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Answers (1)
  1. 23 August, 09:30
    0
    Find the distances between every pair of vertices using the distance formula:

    d = √[ (x2 - x1) ^2 + (y2 - y1) ^2]

    1) d = √[ (5+4) ^2 + (2+1) ^2] = √[81 + 9] = √90

    2) d = √[ (1) ^2 + 4^2] = √[1 + 16] = √17

    3) d = √[8^2 + 1^2] = √[64 + 1] = √65

    Perimeter = √90 + √17 + √65 = 21.7
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