Question

The ratio of corresponding sides of two similar triangle is 1:3 then find their areas

Answer 1

AnswEr:-

• The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Therefore,

⇒ 1² : 3²  is the ratio of areas.

⇒ 1: 9 is the ans.

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Answer 2

Answer:

Let the triangles be ABC n PQR in which AB:PQ=1:3

Area ABC = AB^2 = ( 1 )^2 = 1

Area PQR PQ^2 (3)^2 9

So, Ratio of their areas is 1:9