?
In the given triangle, D and E are the mid-points of AF and AG, F and G are the mid-points of AB and AC. If DE = 2.4 cm, then value of BC is:-
In the given triangle, D and E are the mid-points of AF and AG, F and G are the mid-points of AB and AC. If DE = 2.4 cm, then value of BC is:-
Answer & Solution
Correct Answer:
Option
C
As D and E are mid-points of AF and AG,
∴ Length
⇒ DE = $$\frac{1}{2}$$ FG
⇒ FG = 2 × DE
⇒ FG = 2 × 2.4
⇒ FG = 4.8 cm
As F and G are the mid-points of AB and AC
∴ Length
⇒ FG = $$\frac{1}{2}$$ BC
⇒ BC = 2 × FG
⇒ BC = 2 × 4.8
⇒ BC = 9.6 cm
∴ Length
⇒ DE = $$\frac{1}{2}$$ FG
⇒ FG = 2 × DE
⇒ FG = 2 × 2.4
⇒ FG = 4.8 cm
As F and G are the mid-points of AB and AC
∴ Length
⇒ FG = $$\frac{1}{2}$$ BC
⇒ BC = 2 × FG
⇒ BC = 2 × 4.8
⇒ BC = 9.6 cm
Join the Discussion
Login to post a comment or share your explanation.
Login