Hi,

I'm trying to solve for the following problem: "determine the area of the largest triangle that can be inscribed in a right triangle with legs adjacent to the right angle that are 5 cm and 12 cm". This is how I solved the problem:

I got the correct solution. However, nowI'm curious whether or not you could use implicit differentiation to solve this problem?As in, whether or not we could solve this question without plugging in (5 - (5x/12)) into the equation. I have high bets that you can't, but I would just like confirmation so then I can feel more confident in how to approach optimization problems.

- Olivia