Question 257354
Our first equation is
(i) {{{a^2 + b^2 = 168^2}}}
and our second equation is
(ii) {{{a + b + 168 = 398}}
which is
(iii) {{{a + b = 230}}}
solving (iii) for a, we get
(iv) {{{a = 230 - b}}}
substituting (iv) into (i) we get
(v) {{{(230-b)^2 + b^2 = 168^2}}}
expanding, we get
(vi) {{{52900 - 460b + b^2 + b^2 = 28224}}}
or
(vii) {{{2b^2 - 460b + 24676 = 0}}}
By quadratic, we get
b ~ 144.78
a ~ 85.22