sotonyeo4
sotonyeo4 sotonyeo4
  • 05-05-2024
  • Mathematics
contestada

Two similar triangles have corresponding sides in the ratio 2:3. Find the ratio of their areas.​

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greentoowon
greentoowon greentoowon
  • 05-05-2024

If the corresponding sides of two similar triangles are in the ratio 2:3, then the ratio of their areas is the square of this ratio, which is 2/3 squared, or 4/9. So, the ratio of their areas is 4:9.

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GwaGara
GwaGara GwaGara
  • 05-05-2024

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

So, if the corresponding sides of the triangles are in the ratio 2:3, then the ratio of their areas is (2/3)^2 = 4/9.

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