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Answer:
x = (17/2)√2
Step-by-step explanation:
The ratios of sides of an isosceles right triangle are ...
1 : 1 : √2
In this problem, that is identical to ...
x : x : 17
That is, ...
[tex]x=\dfrac{17}{\sqrt{2}}=\boxed{\dfrac{17}{2}\sqrt{2}}\qquad\text{after rationalizing the denominator}[/tex]
