I need to write a class to a binary file, and then I need to read it back.
I have Triangle and BinaryFile classes, and some other classes.
It's not easy to reproduce the error, due to your large source code and missing data file. But a quick inspection shows that you read and write the binary data using bloc operations:
Triangle trig;
...
File.read((char*)&trig, sizeof(Triangle));
Unfortunately this kind of approach only works if the object you want to save/load is of a class that is trivially copyable, as the following code will demonstrate:
if (is_trivially_copyable::value)
cout << "Triangle is trivially copyable" << endl;
else cout << "Triangle is not trivially copyable" << endl;
So you'll have to serialize the object content writing field by field instead of using a bloc operation. This FAQ on serialization should help you to consider the alternatives.