In ΔABC, the coordinates of B are (0$$,$$0) $$AB=2$$, ∠ABC $$=$$π$$3$$, and the middle point of BC has coordinates (2$$,$$0) the centroid of the triangle is

Correct option is 2(2) (5/3, 1/3)

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In $ΔABC,$ the coordinates of B are (0,0) $AB = 2, ∠ ABC = \frac{π}{3}$ , and the middle point of BC has coordinates (2,0) the centroid of the triangle is

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(1) (1/2, 3/2)

(2) (5/3, 1/3)

(4+3/3, 1/3)

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detailed solution

Correct option is B

(2,0) is the midpoint of B(0,0) and C. Then C has coordinates (4,0). Also, A has coordinates (0+2cosπ/3, 0+2 sinπ/3)≡(1,3). Then the centroid is (5/3, 1/3)

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In ΔABC, the coordinates of B are (0,0) AB=2, ∠ABC =π3, and the middle point of BC has coordinates (2,0) the centroid of the triangle is

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Ready to Test Your Skills?

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In $ΔABC,$ the coordinates of B are (0,0) $AB = 2, ∠ ABC = \frac{π}{3}$ , and the middle point of BC has coordinates (2,0) the centroid of the triangle is