Help, I don't know how to work with right triangles here.

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

The relationship should be

\((x+h)^{2}+(y+h)^{2}=(a+b)^{2}\)

ABC is a right-angled triangle, the right angle being at C.

The altitude from C onto AB meets AB at H.

AH = x, HB = y, and CH = h.