Question

A5, 80 - 1 and 3 4 5 are the vertices of a triangle ABC ad is the median and D is a point on BC such that a g is 2 GB is equals to 2 is to 1 find the coordinates of the point g​

Answer 1

Coordinates of point G = (3 , 4)

Step-by-step explanation:

A (5,8), B(0, - 1 ) and C(4,5) are the vertices of a Δ ABC.

AD is the median and

G is a point on AD such that AG : GD =2: 1.

Find the coordinates of G​

B(0, - 1 ) and C(4,5)

D is mid point

D = (0 + 4)/2 , (-1 + 5)/2

= 2 , 2

A = (5 , 8)  D = (2 , 2)

AG : GD = 2 : 1

=> G = (2 *2 + 1 * 5)/3 , ( 2*2 + 1 *8)/3

=> G = 9/3 , 12/3

=> G = 3 , 4

Coordinates of point G = (3 , 4)

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