The area of two similar triangles is a ratio of 4: 9. What are their sides?

The ratio of the areas of similar triangles is equal to the square of the similarity coefficient. 9: 4 = 3: 2 (similarity ratio)
y – the smaller side
2.4: y = 3: 2
2.4 × 2 = 3y
4.8 = 3y
y = 1.6



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