MHB What Are Essential Tips for Hiking in the Woods?

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Essential tips for hiking in the woods include understanding the importance of preparation, such as checking weather conditions and packing appropriate gear. Navigating with a map and compass is crucial, especially in areas with limited cell service. Staying on marked trails helps preserve the environment and ensures safety. It’s also vital to inform someone about your hiking plans and expected return time. These practices enhance safety and enjoyment during outdoor adventures.
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[sp]From the formula $\frac12bc\sin A$ for the area of a triangle, each of the coloured regions $R,S,T$ has the same area as the triangle $ABC$. This is maximised when $AB$ is perpendicular to $AC$. The area of each region is then $10$ and their combined area is $30.$[/sp]
 
Opalg said:
[sp]From the formula $\frac12bc\sin A$ for the area of a triangle, each of the coloured regions $R,S,T$ has the same area as the triangle $ABC$. This is maximised when $AB$ is perpendicular to $AC$. The area of each region is then $10$ and their combined area is $30.$[/sp]
fine ,you got it !
 

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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