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The base of an equilateral triangle is a...

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 length of a side of the triangle is

A

`(2sqrt(3))/15`

B

`(4sqrt(3))/15`

C

`(4sqrt(3))/5`

D

`(2sqrt(3))/5`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Perimeter of an equilateral triangle of side 's' is

    A
    4S
    B
    2S
    C
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  • One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

    A
    `(4sqrt3)/17`
    B
    `(3sqrt3)/16`
    C
    `(8sqrt3)/15`
    D
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  • The equation of the base of an equilateral triangle is 12 x + 5y-65=0. If one of its verices is (2,3) then the length of the side is

    A
    `(4)/(13)`
    B
    `(2 )/(sqrt3)`
    C
    `(4)/(sqrt3)`
    D
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