Question

The sides of two similar triangles are in the ratio 7:9, then what is the ratio of their areas?​

Answer 1

Answer:

49/81

Step-by-step explanation:

Since the two triangles are similar, from the similarity rule,

ratio of areas of two similar triangles is equal to the ratio of squares of their corresponding sides

=> Area of first triangle/ Area of second triangle = (7/9)^2 =

49/81

Answer 2

Given : The sides of two similar triangles are in the ratio 7:9,

To Find: the ratio of their areas

Solution:

Ratio of area of similar triangle = ( ratio of corresponding sides)²

The sides of two similar triangles are in the ratio 7:9,

=> ratio of corresponding sides = 7/9

Hence Ratio of area of similar triangle = ( 7/9)²

=>  Ratio of area of similar triangle = 49/81

Hence Ratio of area of similar triangle = 49:81

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