1. ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?
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By: anil on 05 May 2019 01.46 am
Let AB = $$x$$ cm and PQ = 45 cm It is given that ΔABC $$sim$$ ΔPQR Also, ratio of perimeter of ΔABC : perimeter of ΔPQR = 5 : 9 => Ratio of Perimeter of ΔABC : Perimeter of ΔPQR = Ratio of corresponding sides = AB : PQ => $$frac{x}{45} = frac{5}{9}$$ => $$x=45 imes frac{5}{9}=25$$ cm => Ans - (C)
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