Question 112371
Let c=a+6 since a=b
a^2+b^2=c^2
2a^2=(a+6)^2
2a^2=a^2+12a+36
a^2-12a-36=0 subtract the right side from the left side.
a=14.4853...(see below)
c=20.4853...
Check:
2*(14.4853...)^2=20.4853...^2 true
Ed
*[invoke solve_quadratic_equation 1, -12, -36]