Area of a regular hexagon | Right triangles and trigonometry | Geometry | Khan Academy

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 82

  • @MissMeganMarie99
    @MissMeganMarie99 9 ปีที่แล้ว +96

    isnt it sad that I can get a better education off of youtube than in my high school math class! Thanks!

    • @mauriciobeltre14
      @mauriciobeltre14 5 ปีที่แล้ว +3

      Are you paying attention?

    • @bgmarshall
      @bgmarshall 4 ปีที่แล้ว +3

      @@mauriciobeltre14 when you comment this the comment was atleast 3 years and 7 months old. Do they even remember that they commented this?

    • @sheetal9257
      @sheetal9257 4 ปีที่แล้ว +1

      @@mauriciobeltre14 😂😂😂

    • @willkershisnik5893
      @willkershisnik5893 2 ปีที่แล้ว +1

      @@mauriciobeltre14 this is an ignorant response to his statement

    • @dy6mix
      @dy6mix ปีที่แล้ว

      @@bgmarshall7 years

  • @nodariel
    @nodariel 13 ปีที่แล้ว +11

    I really love how maths can prove itself no matter what problem is involved. Great video :)

  • @TheNicholsjj
    @TheNicholsjj 13 ปีที่แล้ว +4

    A formula I came up with is when side length is SL you can then take 3SL* (SL/2)*sqrt3. It will always work.

  • @ivanwarrior2615
    @ivanwarrior2615 8 ปีที่แล้ว +10

    Thx you helped with my homework when I watched your vids I'm in a 3rd grade class G.A.P class in Mr. Gordon

  • @zack_120
    @zack_120 2 ปีที่แล้ว +2

    4:51 - at perpendicular conjunctions of two straight lines, only ONE 90 degree symbol is needed. The other side is automatically 90 degree based on 90+90=180: succinctness is the essence and beauty of math at least for this level (enjoyed this series!).

  • @thedarklight6752
    @thedarklight6752 8 ปีที่แล้ว +19

    people who need only the apothem go to 3:00

  • @ShakkIsLife
    @ShakkIsLife 13 ปีที่แล้ว +3

    The area of a regular hexagon is: (perimeter)(apothem)*1/2, where the apothem is the altitude of equilateral triangle.

  • @triggerguard1
    @triggerguard1 9 ปีที่แล้ว +17

    The instruction is very well laid out, but it would be nice for you to use real numbers, as opposed to the square root of a number.
    I'm teaching math to a group of fabricators and I've done so with machinist, but the hypothetical numbers that are used in these examples are never applied in real-world environments. Angles aren't theta and sides aren't the square root of a number.
    Most of my students have had the misfortune of learning math in high school with this same logic, leaving them completely unaware of how to use it in the real world.

  • @alisabri2237
    @alisabri2237 11 ปีที่แล้ว +2

    We could have also used Heron's Formula to find the a area of a single triangle.

  • @humanbeeing4780
    @humanbeeing4780 3 ปีที่แล้ว +1

    Anybody here in 2021?

  • @normavillado6980
    @normavillado6980 4 ปีที่แล้ว

    You help so much

  • @h0op2
    @h0op2 12 ปีที่แล้ว +1

    Thank you so much.

  • @rsimister
    @rsimister 13 ปีที่แล้ว

    lol at people quoting formulae. This is practice for logically breaking down problems, a skill you will need when formulae become inconvenient/nonexistent.

  • @alibenaissabenaissa2463
    @alibenaissabenaissa2463 7 ปีที่แล้ว

    Thanks you helped me alot with my homework

  • @Karurosuki
    @Karurosuki 2 ปีที่แล้ว

    I love how he is just like, "AND WERE DONE!" at the end. he might have not liked this lesson...

  • @fazerisso
    @fazerisso 10 ปีที่แล้ว

    Very good.

  • @DevLuckk
    @DevLuckk 4 ปีที่แล้ว +1

    Great video who agrees

  • @69faa69
    @69faa69 13 ปีที่แล้ว +1

    area of equal triangle= X^2*sqrt3 /4

  • @SubscribersNoVids-lu1rg
    @SubscribersNoVids-lu1rg 7 ปีที่แล้ว

    If you're confused about the square roots numberings the
    adjacent side (small side)=x
    hypotenuse (large side)=2x
    opposite side (medium side)=X times the square root of 3

  • @monjurahmed.
    @monjurahmed. 5 ปีที่แล้ว

    Thanks

  • @MrTigerman08
    @MrTigerman08 13 ปีที่แล้ว

    hi, can you please remake the videos of calculus, and give some new examples.

  • @ZDrive
    @ZDrive 7 ปีที่แล้ว

    What program did you use to make the marks in this video?

  • @2kbling
    @2kbling 12 ปีที่แล้ว

    @khanacademy shouldn't it be multiplied by 12 since the right triangle is half the equilateral triangle

  • @69faa69
    @69faa69 13 ปีที่แล้ว

    area of a hexagon 1.5*X^2*sqrt3
    X=side

  • @mohmoh-mp7es
    @mohmoh-mp7es 7 ปีที่แล้ว +1

    area of hexagon is 3.√3/2.a²

  • @sohamhalbandge8489
    @sohamhalbandge8489 12 ปีที่แล้ว

    thnxs

  • @amjadmirza2343
    @amjadmirza2343 8 ปีที่แล้ว

    tht 3 concept u wrng u took the wrong side of it ,u have to take the side opposite ti the right angle nt the side whr the right angle is present

  • @abhijeetbhatta9017
    @abhijeetbhatta9017 6 ปีที่แล้ว

    Cant we just use the formula for equalateral triangle instead????.that way we don't have to figure out the
    height

  • @iluvbigbootie
    @iluvbigbootie 12 ปีที่แล้ว +1

    the long cut of finding the area shouldve use formula area= 1/2apothem*perimeter; with apothem= s/2*sqrt3. less chances for error.

  • @keenansmith6163
    @keenansmith6163 8 ปีที่แล้ว

    What does he mean by "Two squareds of 3". How what does that equation mean and how can I read it?

    • @keenansmith6163
      @keenansmith6163 8 ปีที่แล้ว +1

      Is 2√3 = 3.4641016151377545870548926830117

  • @eyelashbug5461
    @eyelashbug5461 11 ปีที่แล้ว

    if i know one side do i do that number multiplied by six?

  • @ahkam7548
    @ahkam7548 หลายเดือนก่อน

    I don't know why you can't prove it generally. Why you have taken side length = 2√3

  • @boxhead8694
    @boxhead8694 12 ปีที่แล้ว

    No 2kbling, he found the area of 1 triangle then multiplied by 6. Your referring to HALF A TRIANGLE!

    • @Anonymous-bq9df
      @Anonymous-bq9df 5 ปีที่แล้ว

      Nope. He changed it later..and found the area of the whole triangle.

  • @seenvasreddy
    @seenvasreddy 8 ปีที่แล้ว

    how do u get 2sqrt3 there

    • @jaskaransingh6440
      @jaskaransingh6440 7 ปีที่แล้ว

      the side of the hexagon is assumed 2sqrt3

  • @Jessica-kq5pg
    @Jessica-kq5pg 7 ปีที่แล้ว +7

    I still don't understand it

    • @zoeparker3847
      @zoeparker3847 6 ปีที่แล้ว

      III • it’s always 6 equilateral triangles so you can just use the equilateral triangle area formula and then multiply by 6 bc there are 6 little triangles in the hexagon

  • @pusplatam
    @pusplatam 5 ปีที่แล้ว

    7:51

  • @banothraju8276
    @banothraju8276 6 ปีที่แล้ว

    with 5 areas out of six, of six pointed star are given, how to find out the sixth area of the triangle with thoose given 5 areas ?
    anyone pls help me.

  • @starbreaker8513
    @starbreaker8513 4 ปีที่แล้ว

    I'm, what happened to splitting the hexagon into 2 trapezoids?...

  • @joecaljack
    @joecaljack 13 ปีที่แล้ว +1

    1st! wooohoooo

  • @hiddenblue1598
    @hiddenblue1598 5 ปีที่แล้ว

    How come the apothem is 3?? 😅😅

  • @BlaireTaylor-f9y
    @BlaireTaylor-f9y ปีที่แล้ว

    IDK if its just sleep deprivation but I'm still confused

  • @Krishnam-g2u
    @Krishnam-g2u ปีที่แล้ว

    Cyblohexane

  • @rounaksharma3672
    @rounaksharma3672 7 ปีที่แล้ว

    this doesn't apply on every no. like try on 6cm of each side of hexagon...
    try this-3√3 a^2/2

  • @deanna.111
    @deanna.111 6 ปีที่แล้ว

    We're learning about this and I'm in 7th grade 😩 I'm not even in honors or accelerated

  • @prasoonmbe
    @prasoonmbe 4 ปีที่แล้ว

    I use Khan academy

  • @BlueNitroTiger
    @BlueNitroTiger 7 ปีที่แล้ว +3

    I'm in grade 10 and I find this very difficult and confusing.

  • @isabellewitthuhn8175
    @isabellewitthuhn8175 3 ปีที่แล้ว +1

    Hehe I’m the 69th comment

  • @abhinavmonga4946
    @abhinavmonga4946 3 ปีที่แล้ว

    Lol 6.69 mil subs

  • @wendys2471
    @wendys2471 7 ปีที่แล้ว

    I don't understand.

  • @mohitsinha6011
    @mohitsinha6011 8 ปีที่แล้ว +2

    dab

    • @stormdraws1642
      @stormdraws1642 6 ปีที่แล้ว

      i came for math​ help, i found someone with a pfp of Sebastian's demon eye, and im laughing, idk why, but I am

  • @KapilKumar-ke9sx
    @KapilKumar-ke9sx 3 ปีที่แล้ว

    Thoda hindi vaalo ka bhi dhyaan rakh lete angrej

  • @InfraredVision
    @InfraredVision 11 ปีที่แล้ว

    why is the 2Sq of 3 .. I'm trying to learn.. I don't know it that's the actual length, if so use a normal ###### number... of it it's a formula..

  • @livid91
    @livid91 6 ปีที่แล้ว

    what is an altitude?

    • @gadgetboyplaysmc
      @gadgetboyplaysmc 6 ปีที่แล้ว

      height of the triangle basically. he created a line from the vertex of the hexagon to the base of one triangle and called that line the altitude.

  • @T1mothy187
    @T1mothy187 11 ปีที่แล้ว +1

    Thank you!!