Question

If the ratio of corresponding sides of two similar triangles is 5 ratio 6 then find the ratio of their areas

Answer 1

Ar(∆1)/Ar(∆2) = (5/6)^2

[Theorem:The ratio of areas of 2 similar ∆s is equal to the square of ratio of their corresponding sides]

Thus,

Ar(∆1)/Ar(∆2) = (5/6)^2

Ar(∆1)/Ar(∆2) = 25/36

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