1. The areas of two similar triangles ΔABC and ΔPQR are 121 sq cms and 64 sq cms respectively. If PQ = 12 cm, what is the length (in cm) of AB?
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- By: anil on 05 May 2019 01.46 amIt is given that ΔABC $$sim$$ ΔPQR Let length of AB = $$x$$ cm and length of the corresponding side PQ = 12 cm => Ratio of Area of ΔABC : Area of ΔPQR = Ratio of square of corresponding sides = $$(AB)^2$$ : $$(PQ)^2$$ => $$(frac{x}{12})^2 = frac{121}{64}$$ => $$frac{x}{12}=sqrt{frac{121}{64}}=frac{11}{8}$$ => $$x=frac{11}{8} imes12=16.5$$ cm => Ans - (C)
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