The height of a triangle, given 2 vectors and the area

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Homework Statement


Triangle ABC formed by two vectors a = ( 2, 10, 25 ) and b = ( 5, 4, -2 ) attached at a point A.
The area of the triangle is (81 root 5) / 2
And I need to find the length of the height AM (AM perpendicular to BC and the point M belongs to the line BC).
Don't know where to start!


Homework Equations


Area = 0.5 *h *b
 
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Hint: find the magnitude of the difference of the two given vectors first.
 

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