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Two Vertices of a Triangle Are ( -1, 4) and (5, 2). If the Centroid is (0, 3), Find the Third Vertex. - Mathematics

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प्रश्न

Two vertices of a triangle are ( -1, 4) and (5, 2). If the centroid is (0, 3), find the third vertex. 

योग

उत्तर

Let G be the centroid of Δ ABC whose coordinaes are (0 , -3) and let C (x , y) be the coordinates of thgird vertex

coordinates of G are ,

G (0 , -3) = G `((- 1 + 5 + "x")/3 , (4 + 2 + "y")/3)`

O = `(4 + "x")/3  ,  -3 = (6 + 4)/3`

x = -4 , y = - 15

Coordinates of third vertex are (-4 , - 15)

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The Mid-point of a Line Segment (Mid-point Formula)
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अध्याय 12: Distance and Section Formulae - Exercise 12.3

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 12 Distance and Section Formulae
Exercise 12.3 | Q 16
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