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?
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
=> $$\frac{x}{45} = \frac{5}{9}$$
=> $$x=45\times \frac{5}{9}=25$$ cm
=> Ans - (C)
Create a FREE account and get: