Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. What is the side length of each piece?

Question

anonymous · Answer

they are not the same.  

And i think the answer is 17 sqrt 2

anonymous · Answer

|dw:1424791643607:dw|

This is the diagram which you can use to find the side of the quilt square

anonymous · Answer

From there, we get

$$x^{2} + x ^{2} = 34^{2}$$

which leads to 

$$2x ^{2} = 1156$$

Further,

$$x ^{2} = 578$$

Therefore,

$$x = 17 \sqrt{2}$$ or $$x=24.04$$