Q. 95.0( 1 Vote )

# is such that AB = 3 cm, BC = 2 cm and CA = 2 . 5 cm. If   and EF = 4 cm, then perimeter of isA. 7.5 cmB. 15 cmC. 22.5 cmD. 30 cm.

Given that ΔABC and ΔDEF are similar triangles such that AB = 3 cm, BC = 2 cm, CA = 2.5 cm and EF = 4 cm.

We know that two triangles are similar if their corresponding sides are proportional. First consider,  DE = 6 cm … (1)

Now,  DF = 5 cm … (2)

Then, perimeter of ΔDEF = DE + EF + DF = 6 + 4 + 5

Perimeter of ΔDEF = 15 cm

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