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

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

hi Agnishom

Here's a start for number 2.

AO + OB > AB

Bob

Children are not defined by school ...........The Fonz

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

Offline

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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,198

Excellent!

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

Bob

Children are not defined by school ...........The Fonz

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

Offline

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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

**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)*

Offline

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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

Please somebody help me!

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

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

**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.

Offline

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'

'But our love is like the wind. I can't see it but I can feel it.' -A Walk to remember

Offline

Pages: **1**