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Two of the altitudes of a scalar triangle ABC have lengths 4 and 12. If the length of the third altitude is also an integer, then its largest possible value is

(A)  3 

(B)  4 

(C)  5

(D)  6

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Correct option  (C) 5

Let h be the length of the third altitude falling on side c. Let altitude of length 4 fall on side a and length 12 on side b. Therefore,

Therefore, greatest value possible is 5.

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