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Let there be a triangle ABC and O a point inside it.

Now, how can I prove that:

1.

2.

*Last edited by Agnishom (2012-09-07 21:04:17)*

'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'

'You made a human being happy! There is no further achievement.' -bobbym

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,418

hi Agnishom

Here's a start for number 2.

AO + OB > AB

Bob

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

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I did 2.

Adding all those,

'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'

'You made a human being happy! There is no further achievement.' -bobbym

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,418

Excellent!

I am hoping there's a similar way to do Q1 but, so far, it has eluded me.

Bob

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

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I remember doing it at the 7th Grade, but what about 1.?

'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'

'You made a human being happy! There is no further achievement.' -bobbym

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**noemi****Member**- Registered: 2010-01-07
- Posts: 2,333

Hint for 1.:

OA+OB<CA+CB

*Last edited by noemi (2012-09-08 01:29:34)*

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noemi wrote:

Hint for 1.:

OA+OB<CA+CB

Why?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

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Please somebody help me!

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

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**noemi****Member**- Registered: 2010-01-07
- Posts: 2,333

OA+OB<CA+CB

OB+OC<AB+AC

OC+OA<BC+BA

adding all those you get what you need, assuming CA=AC etc.

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Hmmmmmm..................

That set of problem had another problem which I shall be posting in a new thread

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You made a human being happy! There is no further achievement.' -bobbym

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