Question

G is the centroid of triangle ABC. Find (GD), l(EG) and (AG). (BG) = 6 cm , (GC) = 9cm , (FG) = 5cm​

Answer 1

Answer:

did you know about one thing ?

divides median in 2 :1 ratio.

in simple way, if ∆ABC is a triangle where AD and BE are medians . both AD and BE intersect at a point G , it is not other than Centroid.

now, from above concept .

G divides AD in 2 : 1 ratio.

e.g., AG/GD = 2/1

Given, AG = 5 cm

then, GD = AG/2 = 5cm/2 = 2.5 cm

hence, length of GD = 2.5 cm

similarly, G divides BE in 2 : 1 ratio

e.g., BG/GE = 2/1

given, GE = 2 cm

then, BG = 2 × GE = 2 × 2 = 4cm

now, length of BE = BG + GE = 4cm + 2cm

length of BE = 6cm

Step-by-step explanation:

BRAINLEST PLZ