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 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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