SOLUTION: How many possible right triangles have an area of 20 units squared? I have found two so far, but I am not sure if there are more. I have found one with the height being 8 and

Question 446918: How many possible right triangles have an area of 20 units squared?
I have found two so far, but I am not sure if there are more.
I have found one with the height being 8 and the base being 5.
I have found one with the base and height both being 6 1/3.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Actually, there are infinitely many right triangles having an area of 20 sq units. Given the area of the triangle

We establish

.

We can assume that the area is a function in terms of b, i.e.

The domain of b is the entire set of positive real numbers, and for each b, there exists an h. Hence there are infinitely many such triangles.
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