Online Course Discussion Forum

Help on II-B Geo

 
 
SongKevin的头像
Help on II-B Geo
SongKevin - 2021年10月17日 Sunday 18:58
 

Hi, I don't know how to do 6.25 and 6.28. 

Thanks!

 
LensmireJohn的头像
Re: Help on II-B Geo
LensmireJohn - 2021年10月18日 Monday 10:43
 

Here's some basic hints that hopefully can get you started. Let us know if you are still have some additional questions (and if so, try to provide what you've found so far):

  • We are given that $[CBD] = [BAE] = [ACF]$ so we also know that the ratios $\displaystyle \frac{[CBD]}{[ABC]} = \frac{[BAE]}{[ABC]} = \frac{[ACF]}{[ABC]}$.
  • The height of $8$ and diagonal of length $10$ make us suspicious and we'd like to find (or construct) a 3-4-5 triangle. Try to do so in a convenient way by "moving" a diagonal.