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The base of an equilateral triangle with...

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. Find vertices of the triangle.

Text Solution

Verified by Experts

The correct Answer is:
Coordinates of triangle are
`(0,a), (0,-a), ( sqrt(3) a, 0)`
OR `( 0, a) , (0,-a), (-sqrt(3) a, 0)`.
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Knowledge Check

  • The area of an equilateral triangle with each side measuring 10 cm is …………. cm^(2)

    A
    `(5sqrt(3))/(2)`
    B
    `25 sqrt(3)`
    C
    `5 sqrt(3)`
    D
    `3 sqrt(5)`

  • Three sphere of masses m_,m andm_ are located at the vertices of an equilateral triangle having side of same length. Find the moment of inertia of the system about one of side of triangle.

    A
    `(3)/(4)ml^(2)`
    B
    `(4)/(3)ml^(2)`
    C
    `(3)/(2)ml^(2)`
    D
    `(2)/(3)ML^(2)`

  • Each side of an equilateral triangle measures 8 cm. Then, the semiperimeter of the triangle is ……………… cm.

    A
    4
    B
    24
    C
    12
    D
    36

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