Question

In the given figure, the lines l, m and n are parallel to each other. D is the midpoint of CE. Find: a. BC, b. EF, c. CG and d. BD.

Answer 1

According to equal intercept theorem, since CD = DE
AB = BC  ....(i)
EF = GF   ....(ii)
a. BC = AB = 6 cm     ....[From (i)]
b. EG = EF + FG
⇒ EG = 2EF               ....[from (ii)]
⇒ 9 = 2EF 

⇒ EF = `(9)/(2)` = 4.5 cm
c. CG = 2DF = 2 x 4.2 = 8.4 cm
d. AE = 2BD

⇒ BD = `(1)/(2)"AE"`

= `(1)/(2) xx 12`
= 6 cm.