2. The lengths of two sides of a triangle are 20 and 15. The following ( ) cannot be the perimeter of the triangle.
(A) 52
(B) 57
(C) 62
(D) 67
(E) 72
2. E.

Let the length of the third side of the triangle be $x$.
Then $20-15<x<20+15 \Rightarrow 5<x<35$
$$
\Rightarrow 40<20+15+x<70 \text {. }
$$

Therefore, the perimeter cannot be 72.