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.
Add Comment
1 Answer(s)

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

Warning: Illegal string offset 'alt_text' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 742

Warning: Illegal string offset 'description' in /home/resultwa/public_html/edupil.com/wp-content/themes/edupil155/includes/theme.php on line 743

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.
Add Comment

Your Answer

By posting your answer, you agree to the privacy policy and terms of service.