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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 | SaraNextGen Top Answer

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)

1 Answer
127 votes
Answer Key / Explanation : (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

127 votes


127