Question 1077231
h, hypotenuse
x and y legs
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{{{system(h=x+1,h=y+3)}}}
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{{{system(x=h-1,y=h-3)}}}


{{{highlight_green(h^2=(h-1)^2+(h-3)^2)}}}


{{{h^2=h^2-2h+1+h^2-6h+9}}}
{{{-2h-6h+10+h^2=0}}}
{{{h^2-8h+10=0}}}


{{{h=(8+- sqrt(64-4*10))/2}}}

{{{h=(8+- sqrt(24))/2}}}

{{{h=(8+2*sqrt(6))/2}}}

{{{highlight(h=4+sqrt(6))}}}