In triangle ACE, G is the centroid and BE=21. Find BG and GE.​

BG = 7 Units

GE = 14 Units

Step-by-step explanation:

here's the solution :-

we know that the centroid of a triangle divides all it's median into the ratio of 2 : 1 .

so, BG : GE = 1 : 2

now, taking the ratio constants as 2x and x

BG = x

GE = 2x

and we know, BG + GE = BE

So,

=》x + 2x = 21

( since, BE = 21 )

=》3x = 21

=》x = 21 ÷ 3

=》x = 7

so, BG = x = 7 units

GE = 2x = 2 × 7 = 14 units

the answer is 489

step-by-step explanation: