In triangle ABC, centroid D is on the median line segment AM. AD=x+4 and DM=2x-4. Find AM.

Question

Create an image of a geometric diagram, showing a triangle labeled as ABC. Within the triangle, illustrate a line segment from A to M, representing the median of the triangle. Indicate a point along this median, labeled as D, which is the centroid of the triangle. On this line segment, denote the length from A to D as 'x+4' and the length from D to M as '2x-4'. Make sure the image contains no text.

In triangle ABC, centroid D is on the median line segment AM. AD=x+4 and DM=2x-4. Find AM.

Answer 1

AM = AD+DM = x+4+2x-4 = 3x

we also know that AD = 2DM, so
AM = 3(2x-4)

so, 3x = 6x-12
x = 4

AM = 12

Answer 2

It's

1.B
2.C
3.A
4.C
5.A
6.C
7.A
8.C
9.D
10.A
11.-1,0
12. 2: reflexive Property , 4: Hinge Theorem

Answer 3

The funny haha answer is 12 my boy.

Answer 4

To find the length of the median line segment AM, we need to use the given information about the centroid D and the length of AD and DM.

The centroid is a point on the median line segment that divides it into two parts, with the ratio 2:1. This means that DM is two times longer than AD.

Let's set up an equation using this information:

DM = 2 * AD

Substituting the given lengths, we get:

2x - 4 = 2(x + 4)

Simplifying the equation:

2x - 4 = 2x + 8

By subtracting 2x from both sides of the equation, we get:

-4 = 8

This equation is false, which means there is no solution. Therefore, we cannot find the length of AM using the given information.

Answer 5

why does he have 7 dislikes?

Answer 6

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Answer 7

1D

2C
3A
4C
5B
6D
7D
8B
(1,0)
Reason 2: Reflexive Property of Congruence
Reason 4: Hinge Theorem