Online Course Discussion Forum

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

 
 
Picture of Dr. Kevin Wang
Re: not sure how to prove p14 (winter camp geometry blue)
by Dr. Kevin Wang - Wednesday, 13 January 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.