the AD,BE and CF of a ∆ABC,intersect at G. if AG=6cm find AD.
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Answer:
GD
AG
=
1
2
GD
6
=
1
2
2×GD=6×1
2GD=6
GD=
2
6
=3cm
(ii)
GE
BG
=
1
2
⇒
BG+GE
BG
=
2+1
2
⇒
BE
BG
=
3
2
BG=
3
2
×BE=
3
2
×9 cm
=2×3cm=6cm
(iii)Again,
GF
CG
=
1
2
⇒
GF
CG+GF
=
1
2+1
⇒
GF
CF
=
1
3
⇒
4.5
CF
=
1
3
⇒CF=3×4.5=13.5 cm
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