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what are the right angled triangles i can make with HD

In the figure you provided, we can identify several right-angled triangles that involve the point \( H \), particularly the line segment \( HD \). The problem describes a triangular prism and the specific points and distances provided allow us to consider certain triangles. Let's analyze possible right-angled triangles that could involve \( HD \).

### Relevant information:
- \( \triangle ABC \) is right-angled at \( B \).
- \( AB = BC = 100 \, \text{cm} \), \( CF = DE = 40 \, \text{cm} \), and \( BH = 57.5 \, \text{cm} \).
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what are the right-angled triangles I can make with HD

This problem explores right-angled triangles in a triangular prism, specifically involving the line segment HD. Learn how to apply the Pythagorean theorem and trigonometric ratios to solve for unknowns in 3D geometry.

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