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ANTONII [103]
3 years ago
9

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

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
3 0

Answer:

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.

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