HELP PLS WILL GIVE BRIANLIEST AND 50 POINTS Triangle XYZ ​ is a right triangle with ZQ¯¯¯¯¯⊥XY¯¯¯¯¯¯ . Drag and drop a correct answer into each box to complete the proof of the Pythagorean theorem.

By the angle-angle similarity postulate, △YXZ∼△YZQ and △YXZ∼△ZXQ. Since similar triangles have Response area sides, ac=fa and bc=eb . Solving the equation for a² and b² gives a2=cf and b2= Response area. Adding these together gives a2+b2=cf+ce. Factoring out the common segment gives a2+b2=c(f+e). Using Response area gives a2+b2=c(c), which simplifies to a2+b2=c2 .