# 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
1 Answer(s)

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Answer : (4) 48 √3 cm2

Explanation:-
In the figure –

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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