September 20th, 2015, 10:59 PM  #11 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  
September 20th, 2015, 11:25 PM  #12  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
3a) $\displaystyle \begin{align} y+23y+5+3&=0\\ 2y+10&=0\\ y&=5 \end{align} $ 3bi) $\displaystyle \begin{align} x &= \sqrt{1.5^2  1^2}\\ &= \sqrt{1.25}\\ &= \frac{\sqrt{5}}{2} \end{align} $ 3bii) By cosine formula, $\displaystyle \begin{align} 2^2 &= 1.5^2 + 1.5^2  2(1.5)(1.5)(cos \angle AOB) \\ \therefore \angle AOB &= 83.6^{\circ} \end{align} $ 10. $\displaystyle AB = 1.5  \sqrt{1.5^2  (\frac{1.8}{2}^2}) = 0.3$ (I think these don't really involve intermediate results :P) Last edited by 123qwerty; September 20th, 2015 at 11:36 PM.  
September 21st, 2015, 06:01 AM  #13 
Member Joined: Jan 2014 Posts: 86 Thanks: 4 
Geometry is used all over in engineering. We wouldn't have working cars if we didn't have geometry.

September 21st, 2015, 08:13 AM  #14 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600  Looks like you've already made up your mind regarding its lack of utility ... why try to convince you otherwise?

September 24th, 2015, 06:00 AM  #15  
Member Joined: Sep 2015 From: London Posts: 31 Thanks: 6  Quote:
But seriously, whilst the average person probably won't need to know how to prove circle theorems later in life, what it can also do is endow one with  or encourage one to develop  problem solving skills, or perhaps critical thinking skills (though that's less likely to stem from proving circle theorems). Those are abilities which will help you in many facets of life.  
September 25th, 2015, 10:59 AM  #16 
Member Joined: Sep 2015 From: Philadelphia Posts: 36 Thanks: 3 
It does if you're a carpenter or architect or possibly even an engineer

September 27th, 2015, 06:50 AM  #17  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
 
September 27th, 2015, 06:53 AM  #18  
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  Quote:
 
September 28th, 2015, 12:06 AM  #19 
Senior Member Joined: Apr 2014 From: UK Posts: 963 Thanks: 342 
I've used geometry a lot over the years, from software (3D calculations/collision detection, force calculations etc...) to electronics (oddly, I can't think of an example right now).


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