Heat Transfer from a Triangular and Rectangular Fin $(5$ Points$)$

Consider a fin $($you can choose any material$)$ of triangular cross section with length $L=5$ cm $,$ base thickness $b=1cm,$ and very large width $($W$)$ as shown in the Figure. The base of the fin is maintained at $400C.$ The fin is losing heat to the ambient air at $27C$ with h $=5\frac{W}{m^2}K.$ Using the discretization scheme shown in the figure, determine the steady state temperature values at the $6$ nodes, the heat transfer from the fin for $W=1m$ and the fin efficiency and fin effectiveness. REDO the problem assuming $24$ nodes and check if the answers are different. How does your numerical solution correspond to the exact solution? Can you modify your code for a rectangular $($cuboidal$)$ shaped fin that has the same amount $($and type$)$ of material as the triangular fin $($i$.$e$.,$ both the fins have the same volume, the same width and length$)$ and compare your results between both the fin crosssections? Which is better? Can you explain why?