SSC CHSL 11 Jan 2017 Shift 2 Paper

Question : 78 of 100

Marks: +1, -0

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 3:2 and HF is 8 cm, then the length of DF is

12 cm
20 cm
14 cm
16 cm

Validate

Solution:

GH is parallel to EF and G divides DE in the ratio 3:2
Let DG =

3x

cm and GE =

2x

cm and HF = 8 cm
⇒

{DG}/{GE}={DH}/{HF}

⇒

{3x}/{2x} = {DH}/8

⇒

DH={8×3}/2=12

cm
∴ DF = DH + HF = 12 + 8 = 20 cm

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