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Let A D be a median of the A B Cdot I...

Let `A D` be a median of the ` A B Cdot` If `A Ea n dA F` are medians of the triangle `A B Da n dA D C` , respectively, and `A D=m_1,A E=m_2,A F=m_3,` then`(a^2)/8` is equal to (a)`m_2^2+m_3^2-2m_1^2` (b) `m_1^2+m_2^2-2m_3^2` (c)`m_1^2+m_3^2-2m_2^2` (d) none of these

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Step by step text solution for Let A D be a median of the A B Cdot If A Ea n dA F are medians of the triangle A B Da n dA D C , respectively, and A D=m_1,A E=m_2,A F=m_3, then(a^2)/8 is equal to (a)m_2^2+m_3^2-2m_1^2 (b) m_1^2+m_2^2-2m_3^2 (c)m_1^2+m_3^2-2m_2^2 (d) none of these by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • Let AD be a median of the Delta ABC . If AE and AF are medians of the triangle ABD and ADC, respectively, and AD = m_(1), AE = m_(2), AF = m_(3), " then " a^(2)//8 is equal to

    A
    `m_(2)^(2) + m_(3)^(2) - 2m_(1)^(2)`
    B
    `m_(1)^(2) + m_(2)^(2) - 2m_(3)^(2)`
    C
    `m_(1)^(2) + m_(3)^(2) - 2m_(2)^(2)`
    D
    none of these

  • AD is a median of the DeltaABC . If AE and AF are medians of the triangles ABD and ADC repectively , and AD=m_(1),AE=m_(2),AF=m_(3) , then m_(2)^(2)+m_(3)^(2)-2m_(1)^(2)=

    A
    `a^(2)`
    B
    `(a^(2))/(2)`
    C
    `(a^(2))/(4)`
    D
    `(a^(2))/(8)`

  • In triangle ABC m_(1),m_(2),m_(3) are the lenghts of the medians through A,B and C respectively . If C=(pi)/(2) , then (m_(1)^(2)+m_(2)^(2))/(m_(3)^(2)) =

    A
    2
    B
    3
    C
    4
    D
    5

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