What is the best way to detect lines or corners from possibly wavy handwritting?

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I didnt know how to best word my title but I will try to explain it here. It is pretty simple, for example if I have a hand drawn square root symbol, for the most part it is made up of 3 lines.

If somone uses a ruler, I could easily get 3 lines extracted from the image, but the problem is that sometimes the lines will be quite wavy, like the above though that is a more exaggerated case. Does anyone know of a way I can get lines or even the corners from something like this, or should I just use my character classifier for these types of symbols too. I was able to use hough lines to detect a dash without using a classifier by just looking at the horizontal vs vertical lines but this is a bit more complex. (As far as I know)

Thanks for any suggestions, I know its maybe an unusual question.

Edit: In case this is of interest to anyone else: Using Mostafa Stataki's answer, I was able to acheive the following result with an extremely wavy square root symbol and a very high epsilon of 50 in approxPolyDP :

I couldn't have imagined a better result!