Question

G is the centroid of triangle abc, where ab, bc, ca are 7cm, 24 cm, 25 cm respectively, then bg is

Answer 1

Answer:

BG = 25/3

Step-by-step explanation:

G is the centroid of triangle abc, where ab, bc, ca are 7cm, 24 cm, 25 cm respectively, then bg is

ab, bc, ca are 7cm, 24 cm, 25 cm

25² = 24² + 7²

=> AB ⊥ BC

Let say A = (0,0)

B = (7 , 0)

C = (7 , 24)

Coordinates of G  = (0 + 7 + 7)/3   (0 + 0 + 24)/3

= 14/3 , 8

B = (7/0)

BG = √(14/3 - 7)² + 8²  = √(-7/3)² + 64  = (1/3)√49 + 576  = 25/3

BG = 25/3