Online Course Discussion Forum

MC II-A HW questions

 
 
WongDerek的头像
MC II-A HW questions
WongDerek - 2018年11月3日 Saturday 08:43
 

I don't really get how to do 8.5, 8.10, and 8.26 a and b.

 
ReynosoDavid的头像
Re: MC II-A HW questions
ReynosoDavid - 2018年11月5日 Monday 10:56
 

For both 8.5 and 8.10 a good place to start is using Power of a Point.

In case you were referring to 8.15 and 8.20: Recall if $ABCD$ is a cyclic quadrilateral, $\angle A +\angle C = \angle B + \angle D = 180^\circ$, and Ptolemy's Theorem says $AC\cdot BD = AB\cdot CD + AD\cdot BC$.

On 26.a try drawing triangles that make the regions $A$ and $B$ really really small. For 26b, you want to make $A$ and $B$ as big as you can (just remember that $C$ is the largest region), so what kind of triangle would you have in this case?