1. 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?
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By: anil on 05 May 2019 02.10 am
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 $$ herefore$$ DF = DH + HF = 2.4 + 7.2 = 9.6 cm => Ans - (D)
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