Register to reply 
Optimization questions to get ready for a test 
Share this thread: 
#1
Nov1106, 11:38 AM

P: 3

I was doing some optimization questions to get ready for a test. I came across one that stumped me. The question was "Find the dimensions of the isosceles triangle of the largest area that can be inscribed in a circle of radius r".
My approach was: let y be the base of triangle let x be the two equal sides of triange. A(t) = (bh)/2 = (y*(x^2(y/2)^2)^1/2))/2 I cant find the equation to relate the radius to the area. help? 


#2
Nov1106, 12:40 PM

Sci Advisor
HW Helper
P: 9,396

Let the angle between the two longer sides be t, now imagine instead of drawing lines from the short edge's ends to the perimeter, you drew the lines to the centre of the circle, the angle these shorter sides (of length r) create would be 2t. There is a formula for finding the area in terms of sides and angles between sides, and t depends on the lengths chosen originally. This might help you.



#3
Nov1106, 02:40 PM

P: 3

the formula for the area in terms of the sides of a triangle is (s(sa)(sb)(sc))^1/2 where s is (a+b+c)/2 and a,b,c are the side lengths. is that it? 


Register to reply 
Related Discussions  
Optimization  Calculus & Beyond Homework  9  
Find solution to this system of inequalities such that x+y is minimal  Precalculus Mathematics Homework  3  
Optimization: Beam of maximum strength  Calculus & Beyond Homework  0  
Optimization and maximum area of a rectangular enclosure  Introductory Physics Homework  1  
OPtimization  Introductory Physics Homework  1 