Question 67

The perimeter of two similar triangles ABC and PQR are 36 cms and 24 cms respectively. If PQ = 10 cm then the length of AB is

Solution

It is given that ΔABC $$\sim$$ ΔPQR

Also, perimeter of ∆ABC and ∆PQR are 36 cm and 24 cm

=> Ratio of Perimeter of ΔABC : Perimeter of ΔPQR = Ratio of corresponding sides = AB : PQ

= $$\frac{36}{24} = \frac{AB}{10}$$

=> AB = $$\frac{3}{2} \times 10=15$$ cm

=> Ans - (C)

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