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#1 2005-11-25 23:33:58

Joshua17
Guest

Hard task! Need help!

IN quadrangle ABCD:
- inside angle near the A apex is larger than 180°
- and we know that: AB * CD = AD * BC
- point P is symetrical to point A by the BD line.

Prove that PCB and ACD are equal angles.

Can someone give the solution and explain it to me pleas?? It's important.

#2 2005-11-28 16:15:29

darthradius
Member
Registered: 2005-11-28
Posts: 97

Re: Hard task! Need help!

I'm having trouble visualizing what you mean...we are talking about a concave quadrangle, right?...Then P is outside of the qdrngle?
I'll keep at it and get back to you, but any sort of clarification so that I could make a picture in my head would help.
Else, if you have since solved this, I would love to see your proof.


The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
                                                             -Bertrand Russell

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#3 2005-12-01 08:06:49

Joshua17
Guest

Re: Hard task! Need help!

Yes, i think it's outside but still can't prove it maybe u did?? Veary need it...

#4 2005-12-01 09:50:08

irspow
Member
Registered: 2005-11-24
Posts: 455

Re: Hard task! Need help!

I'd give it a stab also, but I too am unable to imagine this figure.  Did you say an INSIDE angle of greater than 180 within a QUADRANGLE?  And did you mean AB*BC = CD*DA?  Sorry, but I am a little confused.

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#5 2005-12-01 13:47:35

darthradius
Member
Registered: 2005-11-28
Posts: 97

Re: Hard task! Need help!

Ya...sorry josh...I keep trying to draw different pictures and make something with similar triangles but I cannot visualize...I'll keep at it though...
Have you come up with anything at all?  A picture, even?


The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
                                                             -Bertrand Russell

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#6 2005-12-01 14:33:15

ryos
Member
Registered: 2005-08-04
Posts: 394

Re: Hard task! Need help!

Is this an accurate representation of the problem?

View Image: Quadrangle.png

El que pega primero pega dos veces.

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#7 2005-12-02 02:44:48

Joshua17
Guest

Re: Hard task! Need help!

yeah I think that's the right picture

#8 2005-12-02 03:18:24

ryos
Member
Registered: 2005-08-04
Posts: 394

Re: Hard task! Need help!

Except that, isn't it the standard to put the vertex of the angle in the middle of its name? So, would "PCB" and "ACB" both have their vertex at C? That would seem to make it easier to prove that the two are equal.

Don't you love these problems where nobody knows quite what they're asking?


El que pega primero pega dos veces.

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#9 2005-12-02 08:07:43

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Hard task! Need help!

For Posterity: ryos' current signature reads "Yo no puedo enamorarla porque solo con mirarla se me olvida lo que voy a decir..."


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#10 2005-12-02 10:28:37

ryos
Member
Registered: 2005-08-04
Posts: 394

Re: Hard task! Need help!

Cool! What does that mean?


El que pega primero pega dos veces.

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#11 2005-12-02 10:33:06

Flowers4Carlos
Member
Registered: 2005-08-25
Posts: 106

Re: Hard task! Need help!

it reads "I can't love her because just by looking at her i forget what i'm about to say...."

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#12 2005-12-02 10:38:37

ryos
Member
Registered: 2005-08-04
Posts: 394

Re: Hard task! Need help!

Close. More like, "I can't woo her because whenever I see her I forget what I was about to say..."

Edit: or perhaps even more accurate, "I can't woo her because just looking at her make me forget what I was about to say..."

Last edited by ryos (2005-12-02 10:43:54)


El que pega primero pega dos veces.

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#13 2006-01-11 01:06:14

nicole06
Guest

Re: Hard task! Need help!

Flowers4Carlos wrote:

it reads "I can't love her because just by looking at her i forget what i'm about to say...."

#14 2006-01-11 01:07:58

nicole06
Guest

Re: Hard task! Need help!

awww that is so cute you should stay with herkiss

#15 2006-01-11 01:12:11

KRAYZIE D
Guest

Re: Hard task! Need help!

AWWWWWW THATS SOO CUTE:)kissroflol

#16 2006-01-11 01:13:04

andre3000
Guest

Re: Hard task! Need help!

nicole06 wrote:

awww that is so cute you should stay with herkiss

#17 2006-01-11 01:14:30

nicole06
Guest

Re: Hard task! Need help!

what up bigdizzy D

#18 2006-01-11 01:14:34

KRAYZIE D
Guest

Re: Hard task! Need help!

NIKKI HEY WHATS UP U ARE SOOO CUTE LOL I LOVE U BUNCHIE BUNCHIE AND THATS A LOT OF LOVE smilekisskiss

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