My Math Forum Equilateral triangle
 User Name Remember Me? Password

 Geometry Geometry Math Forum

 February 23rd, 2018, 05:21 AM #1 Member   Joined: Feb 2018 From: Iran Posts: 44 Thanks: 3 Equilateral triangle A vertex of an equilateral triangle is A(2,3) and the equation of opposite side is x+y+2=0. Find the equations of the other two sides. Please explain step by step. Last edited by skipjack; February 23rd, 2018 at 08:13 AM.
 February 23rd, 2018, 08:33 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,652 Thanks: 2085 As the given side has slope tan(135°) = -1, the other sides have slopes tan(75°) = 2 + √3 and tan(15°) = 2 - √3, and so their equations are y = (2 ± √3)(x - 2) + 3. The single equation x² - 4xy + y² + 8x + 2y - 11 = 0 suffices, as it can be factorized (or solved by using the quadratic formula) to give the above two equations.

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post mared Geometry 5 June 3rd, 2014 04:51 AM Bigbigcool Algebra 12 January 24th, 2012 06:52 AM julian21 Algebra 1 November 1st, 2010 06:53 PM zgonda Algebra 2 August 20th, 2010 08:13 AM Brooklyn Algebra 1 October 10th, 2009 12:55 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top