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ABC is a triangle with sides 3, 4, 5. Le...

ABC is a triangle with sides 3, 4, 5. Let P be a point inside the `DeltaABC`, and let x, y and z be the length of peripendicular dropped from P on side AB, BC and AC respectively. What can be the maximum value of X+Y+Z.

A

1

B

2

C

3

D

4

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