Let $$A(3$$,$$2$$,$$0)$$,$$B(5$$,$$3$$,$$2)$$,$$C($$−$$9$$,$$6$$,−$$3)$$ are three points forming a triangle. If AD , the bisector of ∠BAC meets BC in D, then coordinates of D are

Question

Let $$A(3$$,$$2$$,$$0)$$,$$B(5$$,$$3$$,$$2)$$,$$C($$−$$9$$,$$6$$,−$$3)$$ are three points forming a triangle. If AD , the  bisector of ∠BAC meets BC in D, then coordinates of D are

Infinity Learn · Accepted Answer

A $$=$$ $$3$$,$$2$$,$$0$$ ,  $$B=($$ $$5$$,$$3$$,$$2)$$ , C $$-9$$,$$6$$,$$-3AB$$ $$=$$ $$4+1+4$$ $$=3$$  ,  AC $$=144+16+9$$ $$=13AD$$ $$=$$ angular bisector  of ∠ BAC since  BD : DC $$=$$ $$3$$ :$$13$$   ⇒  D $$=-27+6516$$,$$18+3916$$'$$-9+2616$$,    by section formula                                          $$=$$ $$3816$$,$$5716$$,$$1716$$    $$=198$$,$$5716$$,$$1716$$

$Let A (3, 2, 0), B (5, 3, 2), C (- 9, 6, - 3) are three points forming a triangle. If A D, the$ $bisector of ∠ B A C meets B C in D, then coordinates of D are$

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Let A(3,2,0),B(5,3,2),C(−9,6,−3) are three points forming a triangle. If AD , the bisector of ∠BAC meets BC in D, then coordinates of D are

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$Let A (3, 2, 0), B (5, 3, 2), C (- 9, 6, - 3) are three points forming a triangle. If A D, the$ $bisector of ∠ B A C meets B C in D, then coordinates of D are$