Triangles
ABC is an Isosceles triangle with angle . if g is the centroid of the triangle and AD is the median , then is
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1 solution
Quite clearly angle A=120 degrees B=30 degrees C=30 degrees (as A=B will lead to sum of angles of triangle exceed 180 degrees) Now AD=x; AD/BD=sin30=1/(3)^(1/2) => BD =(3)^(1/2) Again, DG=(1/3)AD=(1/3)x Now, by pythagoras theorem; (BG)^2=(DG)^2+(BD)^2 =(28/9)x^2 Hence; BG/DG=2((7)^(1/2))