Answer :

The hypotenuse is given by the Pythagorean theorem:

[tex]c=\sqrt{a^2+b^2}[/tex]

Since a=b-5, the expression becomes

[tex]c=\sqrt{(b-5)^2+b^2}[/tex]

Expand the square

[tex]c=\sqrt{b^2-10b+25+b^2}=\sqrt{2b^2-10b+25}[/tex]

Unless you're given an explicit value for b, that's all we can say.

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