Given Diagonal of triangle is 19cml, side is 4 cm longer than leg; Find Sides

BigNate

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Oct 2, 2016
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Problem: Diagonal of triangle is 19cm. One side of triangle is 4 cm longer than the other leg. Find the two missing legs.

Here is my work so far:
a^2+b^2=c^2
x^2+(x+4)^2=19^2
x^2+x^2+8x+16=361
2x^2+8x=345

This isn't a problem that can be easily factored so I am wondering if I am taking the right approach? Can someone please point me in the right direction?

Thanks!
 
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