Solving for h in Similar Triangles

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SUMMARY

The discussion centers on solving for the height (h) in similar triangles, specifically a large right triangle with length (a) and height (h), and a smaller triangle with length (b) and height (i). The user deduced the formula h = (i/b)a, while the reference book states h = a/b. The consensus is that the discrepancy is likely a typographical error in the book, suggesting that the 'i' should be interpreted as '1' to align with the correct formula.

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swooshfactory
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In a problem I am trying to solve, I have one large right triangle with length a and height h. Inside this triangle, there is another triangle of length b and height i. I am trying to solve for h. I deduced h = (i/b)a . In the back of the book, it says h = a/b. Is there any way to remove the i in representing h? Or is this a typo? Thank you for any help.
 
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No. I think it's a typo. Unless the 'i' in the original problem was actually a '1'.
 

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