UPSB v3

Off-topic / Attn: Smart Asians

  1. nateiskewl
    Date: Thu, Jun 10 2010 02:43:06

    I just took my Geometry final and there was really only one problem that I didn't know how to do. It is as follows:

    A hexagon has an area of 45 square meters. What is a side length?

    I think you assume it's regular, but I'm not too sure. Anyway, work your magic, UPSB.

  2. Boshi
    Date: Thu, Jun 10 2010 02:59:22

    are of a polygon is 1/2 heightxapothem. keep in mind that because its a hexagon, it makes 30,60,90 triangles. fit numbers that fit the formula, and meet the 30,60,90 triangle ratio

    btw i had a D in geometry before taking the final(hope it goes up to a C atleast) so idk if what im saying is right

  3. XYZaki
    Date: Thu, Jun 10 2010 02:59:29

    If it's regular,

    45 = ((rad3)(s^2)/4) * 6

    Do the algebra

    nevermind i was thinking perimeter.

  4. hoiboy
    Date: Thu, Jun 10 2010 03:00:33

    A hexagon contains 6 triangles, with angle A being the one with the center as a vertex, so therefore

    45 = 6 (BH/2)
    Area of a triangle is also 0.5bcsinA
    360/6 = 60 (which is the measure of angle A in degrees)

    so we have:
    45 = 6 (0.5bcsin60)
    since b = c (equilateral triangle)
    45 = 6 (0.5b^2sin60)
    45 = 6 (0.5b^2 (root 3/2)) >>> the sin of 60 is root three over two
    b^2 = 17.3...
    b = 4.16...

    now to find side length
    each of the two other angles are also 60 degrees, so all sides must be 4.16...

    4.16 meters

    i think
    my math is rusty, i haven't done any in two days

  5. Boshi
    Date: Thu, Jun 10 2010 03:01:23

    i smell the rice already

  6. Nachoaddict
    Date: Thu, Jun 10 2010 03:05:53

    f dis shet lolz. I did horrible in geometry. alg 2 so much easier. same teacher 2 years in a row too

  7. AwonW
    Date: Thu, Jun 10 2010 03:09:22

    Split up the hexagon into 6 triangles, split the 6 into 12. From there you can tell that they are 30-60-90 triangles, so the partial side length is x, the hypotenuse is 2x and the longer side is root 3 (x). (root3x^2)/2 is the area of the smaller triangle, so 6 (root3x^2) = 45. Solve for x, blah blah, x = 2.08, multiply it by 2, so the side length is 4.16.
    Edit: fuck, hoiboy beat me to it.

  8. davidguy
    Date: Thu, Jun 10 2010 03:27:24

    lol i understood awon more than hoiboy

  9. nateiskewl
    Date: Thu, Jun 10 2010 04:24:22

    Ah, never thought of using 1/2bc(sin A). Thanks guys!

  10. SJ
    Date: Thu, Jun 10 2010 04:31:10

    haha "smart asians"
    id think nate would title this as "attn: asians"

  11. XYZaki
    Date: Thu, Jun 10 2010 05:01:29

    QUOTE (SJ @ Jun 9 2010, 09:31 PM) <{POST_SNAPBACK}>
    haha "smart asians"
    id think nate would title this as "attn: asians"


    I've learned from UPSB that some asians are complete idiots.

    I've also learned from Troy that a lot of honor student Asians lack complete common sense.

  12. Boshi
    Date: Thu, Jun 10 2010 06:36:29

    QUOTE (XYZaki @ Jun 9 2010, 10:01 PM) <{POST_SNAPBACK}>
    I've learned from UPSB that some asians are complete idiots.

    I've also learned from Troy that a lot of honor student Asians lack complete common sense.


    asians are "smart" cuz their parents beat it into them when theyr 5. but ya i totally agree. there are SOOO many asians that act like complete idiots and are just socially awkward.