Question

the ratio of corresponding sides of two similar triangles is 1:3,then the ratio of their areas is​

Answer 1

Ratio of the corresponding sides of the two similar triangles = 1 : 3

let us consider two similar triangles Δ ABC Δ XYZ.

the ratio of the area of Δ ABC/area of Δ XYZ = (1/3)²    we know from the theorem(the ratio of the area of the both the triangles is proportional to square of the ratio of their respective corresponding sides. )

= 1/9 = 1 : 9

The ratio of their areas is 1 : 9

yo yo

Answer 2

Answer:

The ratio of their areas is​ 1 : 9.

Step-by-step explanation:

Using the concept of area of similar triangles, the theorem states if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Here, in the above given question, the ratio of corresponding sides of two similar triangles is 1:3.

Hence, the ratio of their areas is 1:9.

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