ΔGHI is similar to ΔKLM. If the ratio of Perimeter of ΔGHI : Perimeter of ΔKLM = 9:4 and length of GH is 27 cm what is the length of the corresponding side KL?
It is given that ΔGHI $$\sim$$ ΔKLM
Let length of KL = $$x$$ cm and length of the corresponding side GH = 27 cm
Also, ratio of Perimeter of ΔGHI : Perimeter of ΔKLM = 9:4
=> Ratio of Perimeter of ΔGHI : Perimeter of ΔKLM = Ratio of corresponding sides = GH : KL
=> $$\frac{9}{4} = \frac{27}{x}$$
=> $$x = \frac{27 \times 4}{9} = 3 \times 4$$
=> $$x = 12$$ cm
=> Ans - (A)
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