In RT △ ABC, ∠ C = 90 °, if ∠ a = 45 °, find BC: AC and BC: ab

In RT △ ABC, ∠ C = 90 °, if ∠ a = 45 °, find BC: AC and BC: ab


∵∠C=90°,∠A=45°
∴∠A=∠B=45°
∴AC=BC
∴BC∶AC=1∶1=1
∴AB=√2BC
∴BC∶AB=1∶√2