Question 63

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 1:3 and HF is 7.2 cm, ﬁnd length of DF?

Solution

GH is parallel to EF and G divides DE in the ratio 1:3

Let DG = $$x$$ cm and GE = $$3x$$ cm and HF = 7.2 cm

=> $$\frac{DG}{GE} = \frac{DH}{HF}$$

=> $$\frac{x}{3x} = \frac{DH}{7.2}$$

=> $$DH = \frac{7.2}{3} = 2.4$$ cm

$$\therefore$$ DF = DH + HF = 2.4 + 7.2 = 9.6 cm

=> Ans - (D)

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