I remember doing an SRP in year 10 on measuring the levels of saturated fats in different cooking oils using iodine and determining which one was the healthiest. Learnt heaps of stuff along the way like carbon chemistry, structure of different fats, double bonds and addition reactions etc...
Re: Has a question on the Case Study come up in the HSC recently/does it come up ofte
you never know it, might pop up in a random short answer question I guess. if it does come up in your HYs as an extended response (unlikely though, since the case study was already assessed before anyway)...
That theorem still requires FOG to be collinear and since F and G lie on the intervals AO and OP by construction then you're saying that AOP are collinear
oh wai-
:p
Not that I'm doubting your method or anything but can you explain this step a bit more please? I don't quite follow :(
Edit: why is angle CPT = angle EPT?
I get what you mean but I'm not sure if that proof is rigorous enough lol, (perhaps others can clarify this)
Another way is to make a few constructions and do a little bit of angle chasing hehe :)