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Math Help - Check with my equation Please...(area of figures)

  1. #1
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    Check with my equation Please...(area of figures)

    1. A regular hexagon with side 12.
    To find the height or the apothem..my equation:
    h+ 6 = 12
    h+ 36 = 144
    h= 108
    h= 6√3
    Then to find the area of the regular hexagon...by formula of A=1/2ap,my equation is...
    A= (1/2)(6√3)(72)
    I got the equation up to here, but i have no idea of how to multiply the radical.....help with this please...(multiplying the radical...)
    .
    .
    .
    Then please answer this question...
    1. A regular pentagon with side S and apothem(=radius)3.

    2. If ∆ ABC is similar to ∆ ADE, find the probability that a point selected at random from ∆ ABC will lie inside quadrilateral BDEC....?

    3. Find the area of a square with diagonal √6 meters.

    4. Find the area of a square with radius 3√2.

    5. Find the area of an equilateral triangle with height 4√3.

    6. Find the area of a regular pentagon with side 2x and apothem 1/2y.

    7.The bisectors of the angles of triangle DEF intersect in a point that is equidistant from ?, ?, and ?.

    8. In triangle GHI, the perpendicular bisectores segment GH, HI, and GI intersect at point Z. Name three congruent segments.


    ***PLEASE HELP ME..........ㅠㅠ***
    Last edited by sarayork; February 18th 2008 at 04:36 AM. Reason: TO ADD SOMETHING..
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  2. #2
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    Quote Originally Posted by sarayork View Post
    A= (1/2)(6√3)(72)
    I have no idea of how to multiply the radical...
    I expect you do have an idea. You are letting the radical intimidate you. Be strong!

    (1/2)(6√3)(72) = (1/2)*(6)*(72)*(sqrt(3)) = 216*sqrt(3)

    That's it. About which part of that did you have no idea?
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  3. #3
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    Quote Originally Posted by TKHunny View Post
    I expect you do have an idea. You are letting the radical intimidate you. Be strong!

    (1/2)(6√3)(72) = (1/2)*(6)*(72)*(sqrt(3)) = 216*sqrt(3)

    That's it. About which part of that did you have no idea?
    I had no idea about the multiplying the radicals ....so the answer to that one is 216√3 right? haha...I see...Thanks alot~!!^0^*
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