Online Course Discussion Forum

not sure how to prove p14 (winter camp geometry blue)

 
 
Picture of Iris Xu
not sure how to prove p14 (winter camp geometry blue)
by Iris Xu - Wednesday, January 13, 2021, 1:32 PM
 
any suggestions would be helpful. thanks
 
Picture of Dr. Kevin Wang
Re: not sure how to prove p14 (winter camp geometry blue)
by Dr. Kevin Wang - Wednesday, January 13, 2021, 3:46 PM
 

I will give two possible methods.  First, use Law of Sines to and trigonometry identities.

Second: it is easy to find out about the angles A, B, and C.  Then expand the triangle into a regular heptagon (7-sided polygon).  Then apply Ptolemy's Theorem.