July 29th, 2012, 09:27 AM  #1 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,144 Thanks: 685  Split area
An "all integer" example: isosceles triangle; AB = AC = 442 ; BC = 84. D is on AB, 104 from B; E is on AC, 153 from C. Line DE = 77. Triangle ADE's area = half of triangle ABC's area. Code: A 289 338 E 77 D 153 104 B 84 C Calculate DE in terms of a,b,d Just for something to do 
July 31st, 2012, 12:01 PM  #2 
Senior Member Joined: Jul 2011 Posts: 118 Thanks: 0  Re: Split area 
July 31st, 2012, 12:18 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 10,144 Thanks: 685  Re: Split area
Looksee good! Mine: AD = f = a  d (given) angleBAC = u = 2ASIN[b/(2a)] (given) CE = e = [4afSIN(u)  bSQRT(4a^2  b^2)] / [4fSIN(u)] DE = SQRT[(a  e)^2 + f^2  2f(a  e)COS(u)] 

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