In triangle , and . Point divides in the ratio (that is, ). Point divides in the…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In triangle

ABC

,

AB = 15\,\text{cm}

and

AC = 21\,\text{cm}

. Point

D

divides

AB

in the ratio

1:2

(that is,

AD:DB = 1:2

). Point

F

divides

AD

in the ratio

1:2

(that is,

AF:FD = 1:2

). Lines

DE

and

FG

are drawn parallel to

BC

, with

E

on

AC

and

G

on

AE

. What is the ratio

FG:BC

? (a)

1:6

(b)

2:9

(c)

1:9

(d)

1:3

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