https://file.aiquickdraw.com/mathbot/file/17284952699122q0yar63.jpg

The image shows a geometric diagram with a right triangle and a question asking to find the length of \( EH \). Based on the provided diagram:

- \( EFG \) is a triangle.
- \( H \) is the point where a perpendicular is dropped from \( F \) to line \( EG \), forming a right angle at \( H \).
- The length of \( EH \) is represented as \( u \), while the length \( HG \) is labeled \( 8u - 63 \).

Since the triangle contains a right angle at \( H \), the Pythagorean theorem can be applied here to find \( EH \).

The Pythagorean theorem states:
\[
EH^2 + HG^2 = FG^2
\]
However, the length of \( FG \) is not provided directly, which leaves us unable to use this approach unless additional details are known.

Please confirm if additional information is available or if I should proceed with this method based on the assumption that \( FG \) is known. If not, let me know, and I can suggest another approach!

Would you like me to continue with the details so far?

What is EH in the given geometric diagram where triangle EFG is shown, H is the point of perpendicular from F to line EG, EH is labeled as u, and HG is labeled as 8u - 63?

Learn how to calculate the length of EH in triangle EFG using the Pythagorean Theorem. The given values are EH = u, HG = 8u - 63, and the right angle at H. This problem is suitable for students in Grades 9-12 and covers key concepts in geometry.

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