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Math

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An equalateral triangle has the length of it's sides given as (y+3)cm, (2y-x)cm and (4x +3)cm.Find (a) the value of x and y (b)perimeter of the triangle (c) altitude of the triangle to the nearest whole number

  • Math - ,

    all 3 sides are equal , so form equations using any two pairs.

    y+3 = 2y-x ---> y = 3+x

    y+3 = 4x+3 --> y = 4x

    so 4x = 3+x
    3x=3
    x = 1

    then y = 4(1) = 4

    x=1 , y=4

    each side is 7 , perimeter is 21
    for the height, use Pythagoras
    3.5^2 + h^2 = 7^2
    h = √36.75 = appr. 6.06

    or

    sin60° = h/7
    h = 7sin60 = 6.06

  • Math - ,

    all 3 sides are equal , so form equations using any two pairs.

    y+3 = 2y-x ---> y = 3+x

    y+3 = 4x+3 --> y = 4x

    so 4x = 3+x
    3x=3
    x = 1

    then y = 4(1) = 4

    x=1 , y=4

    each side is 7 , perimeter is 21
    for the height, use Pythagoras
    3.5^2 + h^2 = 7^2
    h = √36.75 = appr. 6.06

    or

    sin60° = h/7
    h = 7sin60 = 6.06

  • Math - ,

    11

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