Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2018-part-05 — 181 problems (EN–VI) Question 124

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 124

Points $D$, $F$ and $G$ lie on the sides $AB$, $BC$ and $CA$ of triangle $ABC$, respectively, such that the lines $FG$ and $AB$ are parallel (see the figure). The areas of triangles $GFC$ and $GFD$ are $4\ \mathrm{cm}^2$ and $2\ \mathrm{cm}^2$, respectively. How many square centimetres is the area of triangle $ABC$?

(A) 8
(B) 9
(C) 12
(D) 16
(E) It is impossible to determine.

Question illustration