Question 1043473
Let the length of the shortest side  = {{{ x }}}
The length of the longer side is {{{ 2x }}}
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Use Pythagorean theorem
{{{ ( 5*sqrt(5) )^2 = x^2 + (2x)^2 }}}
{{{ 25*5 = x^2 + 4x^2 }}}
{{{ 5x^2 = 5*25 }}}
{{{ x^2 = 25 }}}
{{{ x = 5 }}}
and
{{{ 2x = 10 }}}
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The shortest side is 5 cm
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check:
{{{ ( 5*sqrt(5) )^2 = x^2 + (2x)^2 }}}
{{{ ( 5*sqrt(5) )^2 = 5^2 + 10^2 }}}
{{{ 25*5 = 25 + 100 }}}
{{{ 125 = 125 }}}
OK