When we say, ''How long is the rope?'' What are we exactly asking for?
In limts, we speak of the value of a function when it tends to a given number. As we say:
limx-->a f(x), we mean to say we are trying to find the value of f(x) as x tends to a number a.
But how close exactly is this? I mean how close to a should x be when we say x-->a. The value of x can be a + 0.0001 or it can be a + 0.000000001. So what should the value of x be as we say x tends to a?
If I ask you to construct △PQR ~ △ABC exactly (when we say exactly, we mean the exact relative positions of the triangles) as given in the figure, (Assuming I give you the dimensions of △ABC and the Scale Factor for △PQR) what additional information would you ask for?