Vidyalelo
Aptitude · Q13

Geometry

Competitive Exams · Aptitude · question 13

Q13

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:-
Geometry mcq question image
A.
4.8 cm
B.
7.2 cm
C.
9.6 cm
Answer
D.
3.6 cm

Answer: Option C

Solution

Answer: Option C
Solution:
As D and E are mid-points of AF and AG,
∴ Length
⇒ DE = 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 = BC
⇒ BC = 2 × FG
⇒ BC = 2 × 4.8
⇒ BC = 9.6 cm