MHB Finding Unknown Side - Get Help Solving Now

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The discussion revolves around a problem involving finding an unknown side of a shape, where the original poster struggles to solve it using right triangles and angles. Participants agree that insufficient information is a barrier to finding a solution. They suggest that having an angle would enable them to determine the unknowns more effectively. An example is provided, indicating that with a 45-degree angle, specific dimensions could be calculated. The conversation emphasizes the necessity of additional information to proceed with the problem-solving process.
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Hi all,

I have a problem that I'm having a really difficult time solving. View attachment 7901

I've tried break the shape into right triangles and solving for the hypotenuse but that gets me nowhere. I tried solving for angles but I still can't get anywhere. I feel like I need more information. Any help would be appreciated.
 

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Hi jsmith, welcome to MHB! (Wave)

Indeed, we have insufficient information.
If the angle were given, we could find those unknowns.
With an angle of, say, $45^\circ$, the groove would need to be 100 μm wide to be 100 μm deep.
 

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?
View full post »

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