Look for a side that's not the longest side of the triangle.
There are two of them.
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By using trigonometry that is applicable to a right angle triangle.
Using Pythagoras' theorem for a right angle triangle the other leg is 3 times the square root of 7
If one leg of a right angled triangle is regarded as the altitude then the other leg is the base.
You can't. With one leg measure, all you know about the triangle is one side (the leg) and one angle (the right angle). That's not enough to pin down any of the other parts of that triangle. There are an infinite number of different right triangles that all have one leg with that same length, and hypotenuses with all different lengths.
This is merely a doubling of the 5-12-13 triangle. The sides are 10 and 24 ft.