In triangle ABC centriod D is on median AM. AD=*+3and DM = 2x-1 find AM

7

Step-by-step explanation:

The centroid divides the median in a 2:1 ratio. Therefore,

AD = 2DM

x + 3 = 2 (2x - 1) Remove parentheses

x + 3 = 4x - 2 Add 2 to each side

x + 5 = 4x Subtract x from each side

3x = 5 Divide each side by 3

x = ⁵/₃

AM = AD + DM

= (x + 3) + (2x - 1)

= 3x + 2 Substitute the value of x

= 3 * ⁵/₃ + 2

= 5 + 2

= 7

Length of median AM = 7.