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The vertices of a ΔABC are A(2,1), B(6, -2), C(8, 9). If AD is angle bisector, where D meets on BC, then coordinates of D are ......

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The vertices of a ΔABC are A(2,1), B(6, -2), C(8, 9). If AD is angle bisector, where D meets on BC, then coordinates of D are ......

(A) (20/3, 5/3)

(B) (5, 2)

(C) (4, 3)

(D) (14/3 , 7/3)

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The correct option is: (A) (20/3, 5/3)

Explanation:

AD is the angle bisector of ∠BAC.

So, by the angle bisector theorem in ΔABC, we have

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