InesQor,
your answer should be 56-8=48
why am I subtracting 8?
It is because of the obvious repetition viz:

look at the figure attached below.

For clarity i drew only 1 triangle
here is the repetition

if you take line FE as the base you get triangle FED among other 7 triangles. right?

Now, if you also take ED as the base, you'll also get triangle FED and the other 7.
So FED occurs twice.
Pick any one and discard the other.

Now, do the same for others like triangles EDC, DCB, CBA, BAH, AHG, HGF and GFE,

all 8 of them appears twice!

INESQOR, i hope you got my explanation?

@AMIGOZ & OTHERS,
pls examine this critically!

Chykason/ . . .

Dont post it again or you'll get banned automatically. . . . Sent a mail to the admin. . . the post will be released!

InesQor,
your answer should be 56-8=48
why am I subtracting 8?
It is because of the obvious repetition viz:

look at the figure attached below.

For clarity i drew only 1 triangle
here is the repetition

if you take line FE as the base you get triangle FED among other 7 triangles. right?

Now, if you also take ED as the base, you'll also get triangle FED and the other 7.
So FED occurs twice.
Pick any one and discard the other.

Now, do the same for others like triangles EDC, DCB, CBA, BAH, AHG, HGF and GFE,

all 8 of them appears twice!

INESQOR, i hope you got my explanation?

@AMIGOZ & OTHERS,
pls examine this critically!

Lalaboi
what's happening? Why is my post not showing? Honestly i'm confused!

spam bot palava. . .

It'll get sorted soon. . . Just dont post it again. . .

No questions asked wen ever am around. Why nauw?

@Sodgi

3 guyz went to an hotel. . .They booked a triple bedroom apartment for £30 pounds.They all contributed £10 and paid the money but the hotel assistant was instructed by his manager to give them back £5.
Instead, he kept £2 for himslef and gave the guyz £1 each . .

How much each did the guyz pay? and add that to the one the assistant kept!. . . why is result different from the initial amount paid?

Chykason, I saw your post by going to your profile https://www.nairaland.com/nigeria?action=profile;u=458464;sa=showPosts

I must confess I made a mistake, not in saying there are 56, but in stating the TYPE of triangle. I thought I mentioned that we are seeking equilateral triangles, I did not and I am sorry about that. The way you found YOUR own triangles, there are VERY MANY kinds of triangles, but only 56 equilateral ones.

See my diagram below for clarity. For just side AB as shown, look clearly and count. . . how many triangles? there are . . . hahahahah (Amigoz please count for us)

Edit:

I got tired of colouring all the various possible triangles with AB as base, so I stopped colouring them. But you can see that I have not even gone to some other vertices yet and I'm counting up to ten triangles on ONE side as base 

Each guyz paid £9.333pence, total for them all is £28, added to the £2 its then £30

The answer ain't different jOor!

Sodgi:

Each guyz paid £9.333pence, total for them all is £28, added to the £2 its then £30

The answer ain't different jOor!

Show ur working oh


How them pay 9.333 pence?

£3 was returned to the three, making the total outgoing amount to be £28. Divide that by 3guys you av £9.333pence. Sharp sharp calculation!
And if it ain't correct, advice me the correct answer jOor!

It will take too long to count the triangles. The answer is 632, but if you doubt I will post my full calculation here (it is very long, and involves a lot of combinations):


Check:
56 triangles with 3 diagonal endpoints (equilateral)
+ 280 triangles with 4 diagonal endpoints
+ 280 triangles with 5 diagonal endpoints
+ 16 triangles with 6 diagonal endpoints (there are also 9 false triangles of zero area: no intersections there)

Sum up to get 632 triangles.

Sodgi:

£3 was returned to the three, making the total outgoing amount to be £28. Divide that by 3guys you av £9.333pence. Sharp sharp calculation!
And if it ain't correct, advice me the correct answer jOor!

They contributed 10 each. . . and £1 each was returned to them. . . . nor be 9pound bdat? and the guy pocketed 2pounds

@Inesqor
i believe in your calculation cos i've done something like that before

please, which program did you use to calculate &draw d graph?

Lala, lol, seems ur confusing urself Ooo but am kinda confused too tho!lol

OK! £9 x 3 guys= 27
BTW you can't add that £2 to the £27 because the
£30 is an outgoing money
£3 is an incoming money

Which makes the total OUTGOING money £27.

The £2 d waiter pockets ain't an INCOMING money, its already in the OUTGOING money, az in its already in the £27, adding it again will be like it (£2) showing up TWICE in d calculation.

Gerrit? Lol

No i dont get it. . .


If they paid 10 eahc and got 1 back. . . Then they paid 9 each!

The waiter pockets 2!

9* 3 + 2 = 29

Wer did the £1 go?

Lala don't be deceived wit english, pure mathematics don't lie. Its all numbers!

*calculation (A)
£30 = £25(booking fee) + £3(returned) + £2(waiter)

Right now all the ABOVE numbers are OUTGOING. But £3 came back, so,

£3 will turn to INCOMING i.e. Those guys got it back!

*Calculation (B)
£30 - £3 = £27 (TOTAL OUTGOING)

the numbers we have left in *calculation (A) are
£30 - £3(returned) = £25 + £2(waiter)
i.e. +£3 turned to -£3 by crossing over to meet £30 making the value on dat side £27, same as the value on this side. But rmbr the £2(waiter) still exists in OUTGOING numbers!

Dats how, so deres no missing £1.

dont write gibberish to get the correct answer

Comot jOor! Oya lemme ask you this,

Was the waiters £2 in the initial £30?
If yes, then why adding it again after giving back £3?

Another maths question for lalaboiy!
How much each did the 3guys contribute for the waiter, had it been the £2 wasn't in the £30 initially. Add ur answer to the £9 they paid each and tell me why you'll still arrive at £30! I got u locked down.
For ur info, am bookmarking ds page to follow u up, Hehehe!

Find dy/dx in the case where y=sinx/x

all of una need a nap

Sodgi:

Comot jOor! Oya lemme ask you this,

Was the waiters £2 in the initial £30?
If yes, then why adding it again after giving back £3?

Yes!. . . They paid 10 each! and got £1 each back!
and my question was! how much did they  pay? And: £9

So if the waiter pockets £2 . ,  .
Why is the total of how much they paid (9*3) = 27
+ the amount the waiter pocketed £2 = 29. . .

Mannylex:

Find dy/dx in the case where y=sinx/x

Whic textbook u copy that one from?

Solve ma question naw, it's just simple differential calculus. @Nike, I don't feel like having a nap. How's u

nike4luv:

i don finish my maths career so i jus dey watch.

What olodos say. . .

Lol, Mhen Lala you be OLODO and funny Ooo!

These 3guys paid £30
They got £3 back, meaning they paid £9 each, summing to £27

The hotel has £27, the break down is as follow:

The room cost £25
The waiter has £2

The 3guys shared the payment of the room & waiter which is £27 by paying £9 each.

The waiters £2 is included in the £27, you don't need to add it to the £27 AGAIN!

Sosgi

How is £2 included in the 27pounds already?

When 9*3 = 27

nike4luv:

fool! i do inferential statistics erday, advanced level mathematics. who b d olodo

**yamws**. . . . Olodo osi

WOO Lala am tired jOor, I don't even know how you grab stuff at school sef cos ur too much of an OLODO!

U r d olodo jor

simple ting

Chykason:

@Inesqor
i believe in your calculation cos i've done something like that before

please, which program did you use to calculate &draw d graph?

Thanks! Well I could have used MATLAB or Mathematica but those softwares are installed on my other computer, and I was not at home. So I drew it in Corel Draw, exported it to Adobe Photoshop for colouring and saved the image as a picture, and then used my calculator and hand to solve the combinatorics. Thanks again!