Question

it is given that △abc∼△def with bc/ef=4/3 . then the ratio of perimeters of the two triangles is​

Answer 1

Solution :-

given that,

→ ∆ABC ~ ∆DEF

and,

→ BC / EF = 4/3

we know that,

• when two ∆'s are similar, ratio of their perimeter is equal to ratio of their corresponding sides .

So,

→ Perimeter ∆ABC / Perimeter ∆DEF = AB/DE = BC/EF = AC/DF

then,

→ Perimeter ∆ABC / Perimeter ∆DEF = BC/EF

→ Perimeter ∆ABC / Perimeter ∆DEF = 4/3

→ Perimeter ∆ABC : Perimeter ∆DEF = 4 : 3 (Ans.)

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