Question 955361
a=short side; b=a+6in; c=a+7in
{{{a^2+b^2=c^2}}} Substitute for b and c.
{{{a^2+(a+6)^2=(a+7)^2}}}
{{{a^2+a^2+12a+36=a^2+14a+49}}}Subtract (a^2+14a+49) from each side.
{{{a^2-2a-13=0}}}*[invoke quadratic "a", 1, -2, -13 ]
a=4.74in
b=a+6=10.74in
c=a+7=11.74in ANSWER: The hypotenuse is 11.74 inches.
CHECK:
{{{a^2+b^2=c^2}}}
{{{4.74^2+10.74^2=11.74^2}}}
{{{22.47+115.35=137.82}}}
{{{137.82=137.82}}}