If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is

(a) 18 cm
(b) 20 cm
(c) 12 cm
(d) 15 cm

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Solution

Given: ΔABC and ΔDEF are similar triangles such that DE = 3cm, EF = 2cm, DF = 2.5cm and BC = 4cm.

To find: Perimeter of ΔABC.

We know that if two triangles are similar then their corresponding sides are proportional.

Hence,

Substituting the values we get

Similarly,

Hence the correct option is

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If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is (a) 18 cm (b) 20 cm (c) 12 cm (d) 15 cm

Given: ΔABC and ΔDEF are similar triangles such that DE = 3cm, EF = 2cm, DF = 2.5cm and BC = 4cm. To find: Perimeter of ΔABC. We know that if two triangles are similar then their corresponding sides are proportional. Hence, Substituting the values we get Similarly, Hence the correct option is

If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is

(a) 18 cm
(b) 20 cm
(c) 12 cm
(d) 15 cm