SOLUTION: Given a right triangle with sides of length a,b,and c and area, a^2 + b^2 – c^2. Find the ratio, c/b, the ratio of the legs of the right triangle.

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Question 258737: Given a right triangle with sides of length a,b,and c and area, a^2 + b^2 – c^2. Find the ratio, c/b, the ratio of the legs of the right triangle.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
From the Pythagorean theorem,
1.
From the area of a triangle,
where b is the base, h is the height.
For a right triangle, b and h are the legs, in this case, b and c.


Use eq. 1 and substitute,





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