[OGC1] Online Geometry Camp: Day 2

Discussion on Bangladesh National Math Camp
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Samiun Fateeha Ira
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Samiun Fateeha Ira » Tue Aug 27, 2013 6:51 am

ধরি, $P$ বিন্দু $AD$ এর ওপর এবং $Q$ বিন্দু $BC$ এর ওপর অবস্থিত। $PQ$ রেখাংশ এবং $AC$ কর্ণ পরস্পরকে $O$ বিন্দুতে সমকোণে সমদ্বিখণ্ডিত করে।

$AC^2= AD^2+ DC^2= 25+144=169\Longrightarrow AC= 13$
$AO=6.5$

$\triangle AOP$ ও $\triangle ADC$ এ, $\angle AOP=\angle ADC$, $\angle OAP=\angle DAC$.
সুতরাং, $\triangle AOP$, $\triangle ADC$ ত্রিভুজদ্বয় সদৃশ।

$\dfrac {OP}{DC}=\dfrac {AO}{AD} \Longrightarrow \dfrac {OP} 5= \dfrac {6.5}{12} \Longrightarrow OP= \dfrac {32.5}{12}\approx 5.4$

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Samiun Fateeha Ira
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Samiun Fateeha Ira » Tue Aug 27, 2013 6:54 am

Well, I was also unable to see Bangla texts from Google chrome. but now i can read it browsing Mozilla.

Neblina
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Neblina » Tue Aug 27, 2013 10:10 am

@ Ira
How did you prove this-
PQ রেখাংশ এবং AC কর্ণ পরস্পর O বিন্দুতে সমকোণে সমদিখণ্ডিত হয়।?

Tusher Chakraborty
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Tusher Chakraborty » Tue Aug 27, 2013 12:54 pm

ইরা, তোমার সমাধান ঠিক আছে :)
"Your present circumstances don't determine where you can go; they merely determine where you start." -Nido Qubein

Nahraf
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Nahraf » Tue Aug 27, 2013 4:48 pm

ভাইয়া, APCQ কি রম্বস? কীভাবে?

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Samiun Fateeha Ira
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Samiun Fateeha Ira » Tue Aug 27, 2013 6:17 pm

Neblina wrote:@ Ira
How did you prove this-
PQ রেখাংশ এবং AC কর্ণ পরস্পর O বিন্দুতে সমকোণে সমদিখণ্ডিত হয়।?
ওই জে...কাগজ ভাঁজের কথা বলা আছে না, তাই করে পেয়েছি। :)

nowshin
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by nowshin » Tue Aug 27, 2013 10:24 pm

আমারও সেম রেজাল্ট এসেছে। আমিও ইরার মত করে করেছি।

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asif e elahi
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by asif e elahi » Tue Aug 27, 2013 10:35 pm

Here APCQ is a rhombus.

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*Mahi*
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by *Mahi* » Tue Aug 27, 2013 10:48 pm

nayel wrote:For some weird reason I can't read the Bangla texts either! This has never happened with me before. I can however read it after pressing the 'quote' button.
For some reason, Chrome is setting the default encoding for this site Western rather than Unicode utf-8. It can be fixed in this way https://support.google.com/news/answer/61689?hl=en , but it needs to be done every time after loading a page :?
Please read Forum Guide and Rules before you post.

Use $L^AT_EX$, It makes our work a lot easier!

Nur Muhammad Shafiullah | Mahi

Ayantika rinti bose
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Re: [OGC1] Online Geometry Camp: Day 2

Unread post by Ayantika rinti bose » Wed Aug 28, 2013 8:22 pm

Hello,
Actually i am not so sure if you are seeing my solutions or not because you are not replying to me.i was ill so i joined the camp 2 days later,but i have done all the maths from day 1 and also replied 2 you.please atleast send me an email that you are seeing my solutions.and here is the half solution of problem 1 day2.‘half ’ because that is what i could do.

By angle bisector theorem we find that BD/DC=AB/AC.so,AB/DC =root 41/root 164=1/2.so,2BD=DC.

that’s that i could do.BUT PLZ NOTIFY ME IF YOU ARE SEEING MY SOLUTIONS!!!!!

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