Ng Peng Liang's answer to Jessica's Secondary 3 E Maths Singapore question.
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
(i)
Angle FED = Angle BEA
Angle DFE = Angle ABE (Corresponding angle)
Hence, triangle FED is similar to triangle BEA with all the same angles
(iii)
Triangle DEA is similar to triangle BFC, hence they are proportionate.
2ED = 3CB
2DF = 3CF
DF + CF = 10cm
DF = 10cm - CF
Sub DF
2(10cm - CF) = 3CF
10cm - CF = 1.5CF
2.5CF = 10cm
CF = 4cm
Hope it helps :)
Angle FED = Angle BEA
Angle DFE = Angle ABE (Corresponding angle)
Hence, triangle FED is similar to triangle BEA with all the same angles
(iii)
Triangle DEA is similar to triangle BFC, hence they are proportionate.
2ED = 3CB
2DF = 3CF
DF + CF = 10cm
DF = 10cm - CF
Sub DF
2(10cm - CF) = 3CF
10cm - CF = 1.5CF
2.5CF = 10cm
CF = 4cm
Hope it helps :)
Date Posted:
2 years ago
Thank youuu!!
360 Tutoring Program