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.
 
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