Seg AD and Seg BE are medians of angle ABC and point G is the controid. If line (AG) =5cm, Find line (GD). If line (GE) =2cm, find line (BE). please sent photo
Answers
in simple way, if AABC 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 x GE = 2 × 2 = 4cm
now, length of BE BG + GE = 4cm + 2cm =
length of BE 6cm
Answer:
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