Finding Unknown Side - Get Help Solving Now

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SUMMARY

The discussion focuses on solving for an unknown side of a geometric shape, specifically when dealing with right triangles. The participants highlight the necessity of having additional information, such as an angle, to effectively calculate the unknowns. A specific example is provided where a $45^\circ$ angle requires a groove of 100 μm width to achieve a depth of 100 μm. The consensus is that without sufficient data, the problem remains unsolvable.

PREREQUISITES
  • Understanding of right triangle properties
  • Knowledge of trigonometric functions
  • Familiarity with geometric dimensions (e.g., micrometers)
  • Ability to apply the Pythagorean theorem
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  • Research trigonometric ratios in right triangles
  • Learn how to apply the Pythagorean theorem in geometric problems
  • Study the implications of angle measurements on triangle dimensions
  • Explore geometric problem-solving techniques for unknown sides
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Students, educators, and professionals in mathematics or engineering fields who are tackling geometric problems involving right triangles and require a deeper understanding of angle and side relationships.

8008jsmith8008
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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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