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algebra

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If a equileteral triangle has 3 sides in cm x+4, 4x+y, y+2.calculate the length of each sides.

  • algebra -

    so they are all equal to each other. Go ahead and do it.
    4 x + y = y + 2
    so
    x = 1/2
    x+4 = 4 1/2
    y+2 = 4 1/2
    y = 2 1/2
    so
    4x + y = 4 1/2 check all sides are 4 1/2

  • algebra -

    An equilateral triangle is a triangle in which all three sides are equal.

    In this case :

    x + 4 = 4 x + y = y + 2



    x - 4 x + 4 = y

    - 3 x + 4 = y

    y = - 3 x + 4


    4 x + y = y + 2

    4 x = y - y + 2

    4 x = 2 Divide both sides by 4

    x = 2 / 4

    x = 1 / 2


    y = - 3 x + 4

    y = - 3 * 1 / 2 + 4

    y = - 3 / 2 + 4

    y = - 3 / 2 + 8 / 2

    y = 5 / 2



    first side:

    x + 4 = 1 / 2 + 4 = 1 / 2 + 8 / 2 = 9 / 2 = 4.5 cm

    second side :

    4 x + y = 4 * 1 / 2 + 5 / 2 = 4 / 2 + 5 / 2 = 9 / 2 = 4.5 cm

    third side :

    y + 2 = 5 / 2 + 2 = 5 / 2 + 4 / 2 = 9 / 2 = 4.5 cm

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