Compare BC and AD.

Question

BC = AD

AD > BC

AD ≤ BC

BC > AD

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Answer 1

This is the Hinge Theorem. Think about a door on a hinge. The wider you open the door, the longer the side.

If you open the door 55 degree (BC) and you open the door 60 degrees AD, then of course AD will be opened wider. Therefore AD > BC.