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Ratio of areas of similar triangles
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Learn it If two similar triangles have sides in the ratio a : b, their perimeters are in the ratio a : b and their areas are in the ratio a² : b².
Example: Similar triangles have sides in the ratio 2 : 5. The small one has area 12 cm². Find the large one's area.
- Area ratio = 2² : 5² = 4 : 25.
- $12 \times \frac{25}{4}$
- $= 75$ cm².
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