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The base f an equilateral triangle with ...

The base f an equilateral triangle with side `2a` lies along the y-axis such that the mid point of the base is at the origin. Find the vertices of the triangle.

A

(a, 0)

B

`(-a, 0)`

C

`(a sqrt(3),0)`

D

`(-a sqrt(3),0)`

Text Solution

Verified by Experts

The correct Answer is:
C
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The base of an equilateral triangle with side 20cm lies along x-axis such that the mid-point of the base is at the origin. Find the vertices of the triangle

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Knowledge Check

  • If the base of an equilateral triangle with side 2a lies along the Y-axis such that the mid-point of the base is at the origin. Then, the vertices of the triangle are

    A
    `(sqrt3a, 0)`, (0, a),(0, -a)
    B
    (`sqrt3a`, 0), (a, 0), (1, -a)
    C
    (`sqrt3a`, 1), (a, 0), (-a, 0)
    D
    (`sqrt3a`, 0), (0, a), (-a, 0)

  • The vertex of an equilateral triangle is (2,-1) and the equation of its base is x+2y=1, the length of its side is :

    A
    `2/(sqrt15)`
    B
    `4/(3sqrt3)`
    C
    `1/(sqrt15)`
    D
    `4/(sqrt15)`

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