Question 43

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?

Solution

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)

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