Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

secondary 3 | E Maths
One Answer Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
glittr
Glittr

secondary 3 chevron_right E Maths chevron_right Singapore

pls help with last qn . ans given is 61.25.

Date Posted: 4 years ago
Views: 197
J
J
4 years ago
I think the answer should be 80 instead.
That ratio is probably wrong and should be EF/FC = 1/2 or FC/EC = 2/3

The trick here is that triangles FGH and FCD are similar. (You should be able to prove this easily)

The ratio of their bases is 1 : 4
(HG/DC = 1/4)

So the ratio of their areas is 1² : 4²
= 1 : 16
glittr
Glittr
4 years ago
i uploaded another pic ... do u think this qn is technically incorrectly set ?
glittr
Glittr
4 years ago
i drew out the entire pic in correct ratio and found it is impossible for all the ratios to tally
J
J
4 years ago
On second thought, I think it's more likely that AH = HG is incorrect. Follow your method 2 instead.
glittr
Glittr
4 years ago
AH = HG is given in part B
J
J
4 years ago
Yup. So is EF/FG = 2/3 in part b. Solving using either info gives a different answer

See 1 Answer

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
glittr
Glittr's answer
59 answers (Tutor Details)
1st
hi J , can help me see method 2 pls ? it’s puzzling how it yields a different answer
J
J
4 years ago
Well method 2 will fit the answer scheme
J
J
4 years ago
One of the info is incorrect.

Either the EF/FG = 2/3 or AH = HG is incorrect. You will get 2 different answers depending on which piece of info you follow. Would suggest you check with the teacher.

edit : would suggest you follow this method and treat AH=HG as incorrect