MHB What is the ratio between sides of two triangles with lengths 6 and 15?

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The ratio between the sides of the two triangles, with lengths 6 and 15, is calculated as 15/6. This simplifies to 5/2, indicating that the larger triangle's corresponding side is 2.5 times longer than that of the smaller triangle. Understanding this ratio is essential for comparing similar triangles. The discussion emphasizes the importance of side length ratios in triangle properties.
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Can someone please help me with these questions? I would be extremely thankful!
 

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If a side of one triangle has length 6 and the corresponding side of the larger triangle is 15 then the ratio is 15/6.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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