Question

If a vertex a Triangle is (1,1), and the middle
points Of Two sides passing through it are
(-2,3) and (5,2), Then Find the centroid
and The Incentre of the triangle​

Answer 1

vertex of triangle is (1,1) and midpoint of sides through this vertex is (-1,2) and (3,2)

co - ordinate of b is (x,y)

co ordinate of b is ( 1+ x /2 = -1, 1+/2 = 1 ((x,y) : ( -3,3 ))

similarly, co ordinate of c comes out to be (5,3)

thus centroid is, 1-3+5/3 ,1+3+3/3 = (1,7/3)

( hint : using formula of centroid )

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