Note: encoding can be done with

def encoding(sample_string):
    binary = ' '.join(map(bin, bytearray(sample_string, encoding='utf-8')))
    return binary

Why the random choice of 3 methods performing globally the same task (although eval is not recommended as usual)?

Hard-coded lambda expression with succession of conditional expressions? Not exactly easy to read

Hi, not that dir is actually a Python keyword :)

Note that this code would run infinitely for negative numbers ;)
But I guess this was on purpose ^_^

In C#, the name of argument is n for an array of integers: is misleading. Consider using numbers or similar name instead.

Nice Solution.

TIP: you can simplify True if <condition> else False by just <condition> !

This assumes that the triangle is isoceles, which might not be the case.
All tests are but maybe we could have a triange like:

.
. . .

Which would result in area of "1" but this solution does not.

that's also one way of doing indeed :) You should move to Perl golf problems to have even more fun ^_^