Problem 61071. Generalizing square area to triangle area

Cody Problem 61070 asked for the height, h, of a right triangle that had the same area, A, of a square with side length, c, and the hypothenuse length was correlated to the square side by x = 2.
Now, find the height, h, of the right triangle that has the same area, A, of a square with side length, c, and the hypothenuse length is xc, for an arbitrary number x > 2. Here, the height stands for the smallest cathetus.

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70.0% Correct | 30.0% Incorrect
Last Solution submitted on Nov 15, 2025

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