Let the altitude from the 9 and 25 side be x. We have the area of the triangle: 34x/2=17x. By the pythagorean theorem, the side next to the x is \(\sqrt{x^2+81}\). The area is also \(\frac{\sqrt{x^2+81}*y}{2}\). So we have \(\frac{\sqrt{x^2+81}*y}{2}=17x\rightarrow y=\frac{34x}{\sqrt{x^2+81}}\). Note that it is now impossible to find y without knowing x. There has to be more information. y could be anything. Try random values for x, it will generate a random value for y.
