Triangle ABC is a right angled triangle in which ∠A = 90° and AM ⊥ BC. Prove that AM = AB×ACBCAM = AB×ACBC. Also, if AB = 30 cm and AC = 40 cm, find AM.

Triangle ABC is a right angled triangle in which $∠ A = 90 °$ and $A M ⊥ B C$ . Prove that $A M = \frac{A B \times A C}{B C}$ $A M = \frac{A B \times A C}{B C}$ . Also, if AB = 30 cm and AC = 40 cm, find AM.

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