cooordinate geometry graphing

[randomuser88]

classify triangle ABC A(-1,4)B(2,-1)C(5,2)
Find the length of the line segment from A to the midpoint of BC.
Im not exactly sure how to plot the midpoint.
Sorry 4 the error:?:

 

[cordoba]

Find the length of the line segment from A to the midpoint of BC.

I think some information is missing or there's a typo. Your triangle is specified by the three points L, M, and N. But this question is asking for something in terms of A,B, and C.

In general, the midpoint of a line segment between two points (x1, y1) and (x2, y2), is just the average of the x and y values:

\(\displaystyle midpoint =( \frac{x1+x2}{2}, \frac{y1+y2}{2} )\)

 

[randomuser88]

Coordinate geometry continue

Dont get it still

 

[pappus]

classify triangle LMN L(-1,4)M(2,-1)N(5,2)
Find the length of the line segment from A to the midpoint of BC.
Im not exactly sure how to plot the midpoint.:?:

The given triangle has the vertices L, M and N. So what or where are A, B and C?

Dont get it still

Please post the complete, unabridged text of the question.

 

[randomuser88]

reply

The given triangle has the vertices L, M and N. So what or where are A, B and C?



Please post the complete, unabridged text of the question.

classify triangle ABC A(-1,4)B(2,-1)C(5,2)
Find the length of the line segment from A to the midpoint of BC.
Im not exactly sure how to plot the midpoint.
Sorry 4 the error:?:

 

[Mrspi]

classify triangle ABC A(-1,4)B(2,-1)C(5,2)
Find the length of the line segment from A to the midpoint of BC.
Im not exactly sure how to plot the midpoint.
Sorry 4 the error:?:

Someone posted this formula earlier, but it may have gotten lost in the confusion.

If the endpoints of segment PQ are P(x1, y1) and Q(x2, y2), then the midpoint M is M( (x1 + x2)/2, (y1 + y2),2 )

That is, to find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints, and the average of the y-coordinates of the endpoints.

Example: What is the midpoint of RS? The endpoints are R(4, 3) and S(-10, 1).

The average of the x coordinates is (4 + -10)/2, or -6/2, or -3. The x-coordinate of the midpoint is -3.

The average of the y-coordinates is (3 + 1)/2, or 4/2, or 2. The y-coordinate of the midpoint is 2.

The midpoint of segment RS is at (-3, 2).

Now...you need the midpoint of segment BC. Oh...and you may NOT get an integer for either or both of the coordinates of the midpoint....