word Problems Optimiz a a what angle θ between two edges of length 3 will result in an isosceles triangle with the largest area ? b. A cylindrical can is to hold 20mm3. The material for the top and bottom costs $10/m2 and material for the side costs $8/m2 Find the radius r and height h of the most economical can c. (Challenge) Consider all triangles formed by lines passing through the point (5,3) and both the x and y-axes. Find the dimensions of the triangle with the shortest hypotenuse. d. (Bigger Challenge) A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut so that the total area enclosed in maximized? Minimized? (Hint: The area formula of an equilateral triangle with sides s is