MathematicsThe number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices (0,0)(0,41) and (41,0) is :

The number of points, having both coordinates as integers, that lie in the interior of the triangle with vertices (0,0)(0,41) and (41,0) is :

A
901
B
861
C
820
D
780

Solution:

$39 + 38 + \dots \dots 3 + 2 + 1$

$= 39 \times 20 = 780$

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