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Let area of faces triangleOAB=lambda1, t...

Let area of faces `triangleOAB=lambda_1, triangleOAC=lambda_2, triangleOBC=lambda_3, triangleABC=lambda_4 and h_1, h_2, h_3, h_4` be perpendicular height from 0 to face `triangleABC`, A to the face`triangleOBC`, B to the face ` triangleOAC`, C to the face `triangleOAB`, then the face `(1)/(3)lambda_1h_4*(1)/(3)lambda_2h_3+(1)/(3)lambda_3h_2+(1)/(3)lambda_4h_1`

A

(a)`(2)/(3)`|[AB AC OA]|

B

(b)`(1)/(3)`|[AB AC OA]|

C

(c)`(2)/(3)`|[OA OB OC]|

D

(d) none of these

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