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ABC is a triangle and AD is perpendicula...

ABC is a triangle and AD is perpendicular to BC. It is given that the lengths of AB, BC, CA are all rational numbers. Which one of the following is correct?

A

AD and BD must be rational

B

AD must be rational but BD need not be rational

C

BD must be rational but AD need not be rational

D

Neither AD nor BD need be rational

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