ATAR Notes: Forum

VCE Stuff => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematics => Topic started by: Martoman on April 22, 2010, 06:17:03 pm

Title: Geometry issues
Post by: Martoman on April 22, 2010, 06:17:03 pm: There is some simple observations I'm not making here.

Image is here: http://img227.imageshack.us/i/capture7.png/

Question: In triangle PQT, PQ = 10, QT = 5, angle PQT = 60
PW,PY,TQ are tangents to the circle with centre S at W,Y and V respectively.
The radius of the circle is?

What I did was form a square TYVS... but past that, nothing. PT can be worked out via pythag to be $5\sqrt{3}$ however.
Title: Re: Geometry issues
Post by: /0 on April 22, 2010, 07:51:57 pm: construct SQ and ST

Then you can use trigonometry to express TV and VQ in terms of r.