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Solution: according to the meaning of the question: AB=c is the hypotenuse, then the middle line on AB is c/2.

Sum of two roots of the equation: a+b=5 (1)

The product of the two roots of the equation is: ab=2 (2)

∴( 1) On both sides of the square:

Party A+Party B +2ab=25

∴ Substitute Formula (2) into it: Party A+Party B +4=25.

Namely: Party A+Party B =2 1.

In Rt△ABC: Party A+Party B = Party C from Pythagorean Theorem.

∴c squared =2 1

∫c > 0

∴c= root number 2 1

∴ The midline on the hypotenuse AB is: c/2 = (radical number 2 1)/2.

I am glad to solve the above problems for you, and I hope it will help your study! ≤、≥ ∠