Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

## #1 2012-07-23 22:22:09

Agnishom
Real Member

Offline

### Heron's Formula

We have a school project on The Applications Of Heron's Formula
It has to contain a minimum of 5 pages apart from the introduction
I replace 1 of them with the proof.
Please show me how can I prove it
And in the other 4 pages we have to show various Applications of the Formula
Could you suggest some of them

P.S.: Please give a proof without any Trigonometry and pls don't recommend that which is given in Wikipedia because I didn't understand it

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## #2 2012-07-23 22:25:25

anonimnystefy
Real Member

Offline

### Re: Heron's Formula

Hi Agnishom

You could put an example on one page. An application on a quadrilateral on another.

Oh, and, I recommend reading the Wikipeadia article on it.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #3 2012-07-23 22:46:24

Agnishom
Real Member

Offline

### Re: Heron's Formula

So I can fill 2 of the 4 pages: 1 with a simple example & the other with an example on Quadrilateral
Please give two other applications( May be two interesting problems)

Please explain the proof
I don't understand what's written on Wikpedia

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## #4 2012-07-23 23:42:05

anonimnystefy
Real Member

Offline

### Re: Heron's Formula

I have to say that don't remember. I will read the Wikipedia article and then try to explain it to you.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #5 2012-07-24 01:06:09

noelevans
Full Member

Offline

### Re: Heron's Formula

It's kinda interesting that the formula lets you know whether or not you have a legitimate triangle.
If it gives zero then it indicates that you have a "pretty doggone flat triangle."  Eg. 4,5,9.
It gives a negative number under the radical when it can't be a triangle.  Eg. 4,5,10.

Writing "pretty" math (two dimensional) is easier to read and grasp than LaTex (one dimensional).
LaTex is like painting on many strips of paper and then stacking them to see what picture they make.

## #6 2012-07-24 01:11:47

anonimnystefy
Real Member

Offline

### Re: Heron's Formula

Hi Agnishom

Which of this don't you understand:

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #7 2012-07-24 01:28:54

Agnishom
Real Member

Offline

### Re: Heron's Formula

#### I wrote:

I required a proof without trigonometry

Anyway, this did help:
http://answers.yahoo.com/question/index … 924AAYZnIO

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## #8 2012-07-24 01:35:08

bob bundy
Moderator

Offline

### Re: Heron's Formula

And in the other 4 pages we have to show various Applications of the Formula

Well, you can work out the area of a triangle when you know its sides.

I will see if I can find anything else.

Proof without trig?  That may be a tough request to fulfil.

The first post on that site using the trig formulas.

The second takes a huge leap un-proved.  I have a suspicion that trig will be involved there too.

I've know of a book with a proof but it'll be 24 hours before I can look it up.  (and I seem to remember it has trig too)

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

## #9 2012-07-24 01:50:56

Agnishom
Real Member

Offline

### Re: Heron's Formula

No I can understand it the way it is proved using Pythagoras

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'The whole person changes, why can't a habit?' -Alokananda

## Board footer

Powered by FluxBB