For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element the area=10units, the value of ∑βi from the standard relation αi+βiX+γiY=(2/3)*Area where X=∑xi, Y=∑yi is ___

(a) 0

(b) 10

(c) 20

(d) 30

The question was posed to me by my college director while I was bunking the class.

This intriguing question comes from Boundary Value Problems in portion Single Variable Problems of Finite Element Method