16. If A(5,-1), B(-3,-2) and C(-1,8) are thecoordinates of the centroi

1.	16. If A(5,-1), B(-3,-2) and C(-1,8) are thecoordinates of the centroid. OR2) and C(-1.8) are the vertices of a triangle ABC. Tind the length of median therongh A andtabeively,P(X,Y) İs any point in
Answer» The vertices of a triangle are A(5,- 1) , B(-3, -2)and C(-1, 8). Let D the mid point of BC. Then the coordinates of D is (-3-1/2,-2+8/2) = (-2,3). Length of the median is AD = sqrt[(-2-5)^2 + (3+1)^2] = sqrt(49 + 16)= sqrt(65) Coordinates of centroidx = (5-3-1)/3 = 1/3y = (-1-2+8)/3 = 5/3

16. If A(5,-1), B(-3,-2) and C(-1,8) are thecoordinates of the centroid. OR2) and C(-1.8) are the vertices of a triangle ABC. Tind the length of median therongh A andtabeively,P(X,Y) İs any point in

Answer»

The vertices of a triangle are A(5,- 1) , B(-3, -2)and C(-1, 8).

Let D the mid point of BC. Then the coordinates of D is (-3-1/2,-2+8/2) = (-2,3).

Length of the median is AD = sqrt[(-2-5)^2 + (3+1)^2] = sqrt(49 + 16)= sqrt(65)

Coordinates of centroidx = (5-3-1)/3 = 1/3y = (-1-2+8)/3 = 5/3