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Let D be the middle point of the side BC...

Let D be the middle point of the side BC of a triangle ABC. If the triangle ADC is equilateral, then `a^(2) : b^(2) : c^(2)` is equal to

A

`14 xx 3^(1/2)`

B

`42 xx 3^(1/2)`

C

`14 xx 3^(3/4)`

D

`42 xx3^(1/2)`

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Knowledge Check

  • D,E and F are the middle points of the sides of the triangle ABC, then

    A
    centroid of the triangle DEF is the same as that of ABC
    B
    orthocentre of the traiangl DRF is the circumcentre of ABC
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    D
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  • If D be the mid-point of the side BC of a triangle ABC and AD is perpendicular to AC, then

    A
    `a^2+b^2+c^2=4b^2`
    B
    `a^2+b^2-c^2=4b^2`
    C
    `a^2-b^2+c^2=4b^2`
    D
    `a^2-b^2-c^2=4b^2`

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    A
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