The discussion revolves around finding the area of a triangle with given side lengths a, b, and c, without using established formulas like Heron's Formula. Participants are exploring alternative methods to derive the area conceptually and mathematically.
The conversation is ongoing, with participants offering different approaches and questioning the feasibility of each method. There is no explicit consensus, but several lines of reasoning are being explored.
Participants are working under the constraint of not using known formulas for area calculation, which raises questions about how to define the triangle's dimensions and limits for integration.
I take it you mean set the triangle up so that one vertex is at the origin and another is along the positive x-axis. The difficulty with that is that, since you know only the lengths of the sides, you would have to break it into right triangles to determine the limits of integration. Once you have done that, it is simpler to find the area of the right triangles, mgb_phys' recomendation, than to integrate.PowerIso said:define a line as a side and integrate...