Question

53. find the co-ordinates of the centroid 4
triangle whose virtus on (-1,0)(5,2)and (8,2)​

Answer 1

Answer:

Find the coordinates of the orthocentre of the triangles whose angular points are

(1,0),(2,−4), and (−5,−2).

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ANSWER

Slope of AB =mAB=1−(−5)0−(−2)=31

Draw CE perpendicular AB

mABmCE=−131mCE=−1⇒mCE=−3

Equation of CE is 

y+4=−3(x−2)y+4=−3x+6y+3x=2.......(i)

Now slope of BC =mBC=2−1−4−0=−4

Draw AD perpendicular BC

mBCmAD=−1−4mAD=−1⇒

Answer 2

Answer:

(4,4/3)

Step-by-step explanation:

Given,

Vertices of triangle = (-1,0), (5,2) and (8,2)

Centroid of triangle formula = X1+X2+X3 by 3, Y1+Y2+Y3 by 3

Centroid = -1+5+8/3, 0+2+2/3

= 12/3,4/3

= (4,4/3)

HOPE IT HELPS !!