Page 1 of 1
Triangle Problem
Posted: July 7th, 2009, 10:19 am
by yaourt
found this interesting problem on the net ... There is an equal-sided triangle (isosceles) in the first quadrant. the corners of the basis are the point of origin (0,0) and point (b,0) with b>0. the third corner lies on the function y=27-x^2. What is the maximum surface area this triangle can have?
Triangle Problem
Posted: July 7th, 2009, 11:08 am
by daveangel
two equal sides ?
Triangle Problem
Posted: July 7th, 2009, 11:37 am
by yaourt
two equal sides, one basis
Triangle Problem
Posted: July 7th, 2009, 1:18 pm
by jurowilmott1
S=81*sqrt(27)/16 (b=sqrt(27))... modulo arithmetic errors, what is so interesting about this problem anyway?
Triangle Problem
Posted: July 7th, 2009, 1:57 pm
by yaourt
QuoteOriginally posted by: jurowilmott1S=81*sqrt(27)/16 (b=sqrt(27))... modulo arithmetic errors, what is so interesting about this problem anyway?no sorry, thats the wrong answer
Triangle Problem
Posted: July 7th, 2009, 2:36 pm
by jurowilmott1
S=54, b=6 (errors in the previous one...), anyway, this a simple calculus question, not a real teaser
Triangle Problem
Posted: July 7th, 2009, 2:37 pm
by EscapeArtist999
Sorry arith error, same answer as below...
Triangle Problem
Posted: July 7th, 2009, 2:58 pm
by alphaquantum
b=36, S = 54where's the catch?
Triangle Problem
Posted: July 7th, 2009, 3:06 pm
by daveangel
b = 6, A = 54
Triangle Problem
Posted: July 7th, 2009, 3:18 pm
by alphaquantum
Right, b=6, S=54. My answer, b=36, S=54 is for triangle on (0,0) and (0,b)