Find Out the Area Triangle of ABC, If

If two medians BE and CF of a triangle ABC, intersect each other at G and If BG = CG, ÐBGC =60o, BC =8cm, then area of the triangle ABC is:

  1. 48 cm2
  2. 64√3 cm2
  3. 96 √3 cm2
  4. 48 √3 cm2
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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    Answer : (4) 48 √3 cm2

    Explanation:-
    In the figure –

    RE: Find Out the Area Triangle of ABC, If


    Three triangles are equal
    Then, TriagleBCG = triangle ACG = triangle ABG
    In triangle BCG,
    GC = GB
    Then, Angle GCB = Angle GBC
    Then, triangle BCG is a equilateral triangle.
    Then, the area of equilateral triangle  BCG = 64 sqrt.3/4
    = 16 sqrt.3
    Then, the area of triangle ABC = 3 x 16 sqrt.3
    = 48 sqrt.3
    Hence, the answer is (4)48 √3 cm2

    Anurag Mishra Professor Answered on 28th August 2015.
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