#### The base of an equilateral triangle is along the line given by 3x + 4y = 9. If a vertex of the triangle is (1, 2), then the length of a side of the triangle is : Option 1) Option 2) Option 3) Option 4)

As we learnt in

Perpendicular distance of a point from a line -

- wherein

is the distance from the line .

Also

Thus

Option 1)

This option is incorrect.

Option 2)

This option is correct.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.