http://community.boredofstudies.org en Sat, 21 Nov 2009 15:45:22 GMT vBulletin 60 http://community.boredofstudies.org/images/misc/rss.jpg http://community.boredofstudies.org http://community.boredofstudies.org/showthread.php?t=228641&goto=newpost Sun, 15 Nov 2009 07:54:15 GMT Here are two questions which I'm stuck on. You might like to have a go, and perhaps post the solutions.

8. In ∆ABC, angle ABC = 138° and angle ACB = 24°. Point D is on AC so that angle BDC = 60° and point E is on AB so that angle ADE = 60°. If angle DEC = x°, find the value of x.

9. Let ∆ABC be an equilateral triangle with AB = x. On the extension of BC, we define points A' (on the same side as B) and A" (on the same side as C) such that A'B = CA" = y. Similarly, on the extension of side CA, we define B' (on the same side as C) and B" (on the same side as A) such that B'C = AB" = y, while on the extension of side AB, we define C' (on the same side as A) and C" (on the same side as B) such that C'A = BC" = y.
(a) Prove that the points A', B", C', A", B' and C" all lie on a circle.
(b) If x and y are positive integers, determine the smallest integer value for R², where R is the radius of that circle.

I've done the remaining eight questions, and surprisingly the other question that I got most stuck on was Q1! ]]> Appreciating the Beauty and Elegance (extracurricular topics) PC http://community.boredofstudies.org/showthread.php?t=228641 http://community.boredofstudies.org/showthread.php?t=227922&goto=newpost Mon, 09 Nov 2009 12:08:45 GMT My school has made all the MX2 students enter, its on this friday. I don't study any maths outside what i have been taught in class.

Question: Will i get raped? ]]> Appreciating the Beauty and Elegance (extracurricular topics) bob fossil http://community.boredofstudies.org/showthread.php?t=227922