Question 390224
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Hi,  
Using the Pythagorean Theorem:  a^2 + b^2 = c^2
 s^2 + s^2 = (10cm)^2
    2s^2 = 100cm^2
     s^2 = 50cm^2  Tossing out the negative solution
     {{{s = sqrt(50)cm = sqrt(25*2)cm = highlight(5*sqrt(2)cm) )}}}