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Let ABC and ABC' be two non-congruent tr...

Let ABC and ABC' be two non-congruent triangles with sides `AB = 4, AC = AC' = 2 sqrt2` and angle B`= 30^(@)`. The absolute value of the differnce between the area of these triangle is _______

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Knowledge Check

  • Let ABC and ABC be two non-congruent triangles with sides AB=4, AC=AC=root(2)(2) and angleB=30^@ . The absolute value of the difference between the areas of these triangles is.

    A
    2
    B
    `root(2)(2)`
    C
    4
    D
    `root(3)(2)`

  • Let ABC and AB'C be two non-congruent triangles with sides BC=B'C=5, AC=6, and angleA is fixed. If A_(1) and A_(2) are the area of the two triangles ABC and AB'C, then the value of (A_(1)^(2)+A_(2)^(2)-2A_(1)A_(2)cos 2A)/((A_(1)+A_(2))^(2)) is

    A
    `9//36`
    B
    `25//36`
    C
    `25//16`
    D
    `16//25`

  • ABC is a triangle, where BC = 2AB , angle B = 30^@ and angle A = 90^@ . The magnitude of the side AC is

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

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