Fun Math Problem 'Cussed Ladders'

[Gerson W. Barbosa]

For the second problem, just submit solve [(c+d)/(√(d*(d+2*c)))=b/(√((a*(b-c-d)/b-c)*((a*(b-c-d)/b-c)+2*c))+√(d*(d+2*c)))] for d to W|A. You'll get four very long expressions for d. One of them might give you a suitable real answer (make a = 40, b = 30 and c = 10). Use that result to compute e = (a*(b-c-d)/b-c). Your final answer will be √(d*(d+2*c)) + √(e*(e+2*c)). I think I won't check this out :-)

http://m.wolframalpha.com/input/?i=solve...9%5D+for+d