How do I recognize right triangle scenarios

Can someone answer it, and plot it, for 20 points and brainliest answer? p.s. they're the same ! : )

Marya wants to factor the polynomial 36x^3 -22x^2 - 144x.which term can she add to the polynomial that would not change its grestest common factor? check all that apply

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.