MathNet 2026 — Part 09 Question 50

Suppose that $ABC$ and $A'B'C'$ are two triangles such that $\angle A = \angle A'$, $AB = A'B'$, and $BC = B'C'$. Suppose also that $\angle C = 90^{\circ}$. Prove that triangles $ABC$ and $A'B'C'$ are congruent.