Online Course Discussion Forum

Math Challenge 1-A Geo #6.26 and 6.29

 
 
Picture of Kathy Liu
Math Challenge 1-A Geo #6.26 and 6.29
by Kathy Liu - Wednesday, October 18, 2017, 9:18 PM
 

I don't understand what the brackets mean for 6.26 and how to show that N,G, P and ! are on one line for 6.29. This is Week 6's homework. Could someone please help me?

 
Picture of John Lensmire
Re: Math Challenge 1-A Geo #6.26 and 6.29
by John Lensmire - Thursday, October 19, 2017, 10:15 AM
 

Hi Kathy,

For 6.26, remember the bracket notation denotes area. Therefore $[ABCDEF]$ denotes the area of hexagon $ABCDEF$.

For 6.29, I'll give the following hint/example:  Suppose we wanted to show the points $A$, $B$, and $C$ were all on the same line (with $B$ in the middle). One way to show this would be to calculate the angle $\angle ABC$ and show that the angle was $180^\circ$.

Hope this helps!

Picture of Kathy Liu
Re: Math Challenge 1-A Geo #6.26 and 6.29
by Kathy Liu - Thursday, October 19, 2017, 9:13 PM
 

Hi!

Thank you so much! It makes the problems a lot clearer! :)

Sincerely,  Kathy

Picture of Michael Zhang
Re: Math Challenge 1-A Geo #6.26 and 6.29
by Michael Zhang - Sunday, October 22, 2017, 9:05 PM
 
So is the ratio of the side lengths 1 : 1/3 : 1/9 or 1 : 1/9 : 1/81?