June 5th, 2019, 01:34 PM  #1 
Member Joined: Jan 2019 From: tornto Posts: 48 Thanks: 0  triangle
In triangle XYZ, XY=6, angle X=60, and angle Y=70. Determine the values of XZ, YZ, & angle Z. PLEASE HELP. Last edited by skipjack; June 5th, 2019 at 08:42 PM. 
June 5th, 2019, 01:55 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,552 Thanks: 1402 
this is a simple application of the law of sines and a bit of basic geometry (what is the sum of the angles of a triangle?) I have great faith that you can obtain the answer on your own! 
June 5th, 2019, 08:54 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,969 Thanks: 2219 
As XZ/sin(Y) = XY/sin(Z) and sin(Z) = sin(X + Y) = sin(X)cos(Y) + cos(X)sin(Y), XZ = XY sin(Y) /(sin(X)cos(Y) + cos(X)sin(Y)) = XY/(sin(X)cot(Y) + cos(X)). 

Tags 
triangle 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
is orthic triangle same as pedal triangle?  randomgamernerd  Geometry  1  November 16th, 2015 08:09 PM 
A right triangle  Dacu  Geometry  16  September 24th, 2014 03:11 PM 
triangle  mared  Geometry  2  June 16th, 2014 03:47 PM 
Triangle  w0w  Algebra  3  June 24th, 2013 11:59 AM 
Moller Triangle to Triangle Collisions  1101  Algebra  0  June 19th, 2009 10:56 PM 