# The vertices of a family of triangles have integer coordinates. If two of the vertices of all the triangles are (0, 0) and (6, 8), then the least value of areas of the triangles is a) 1 b) c) 2 d)

## Question ID - 50347 :- The vertices of a family of triangles have integer coordinates. If two of the vertices of all the triangles are (0, 0) and (6, 8), then the least value of areas of the triangles is a) 1 b) c) 2 d)

3537

Answer Key : (a) -

(a)

Let the third vertex be

Area of

As   are integers, so we take

(0, 0), (1, 1), (1, 2)

At , it is not possible

At

At

Here, we see that minimum area is 1

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 In a  is equal to a) b) c) d)