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25 December, 07:48

Find the area and perimeter of a triangle whose angles are all 60 degrees and base is 8m

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Answers (2)
  1. 25 December, 08:02
    0
    The perimeter is 24m and the area is 64m
  2. 25 December, 08:08
    0
    If the angles are all 60 degress, then the triangle must be an equilateral triangle which hse all 3 sides equal so if 1 sides is 8 in length then the other sides must be 8 in legnth also

    permimiter=3 times 8=24m

    area=1/2 times base times height

    base=8

    height=use pythagorean theorem

    a^2+b^2=c^2

    a=4

    c=8

    solve for b

    4^2+b^2=8^2

    16+b^2=64

    subtract 16 from both sdies

    b^2=48

    squar root both sdies

    b=4 times squareroot3=height

    so 1/2 times base times height

    1/2 times 8 times 4 times squareroot 3

    16 times square root 3

    area=4√3 meters
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