how do you find the coordinates of the midpoint of each side of traingle ABC?
coordinates are A=(-4,3)
B (6,5)
c (6,-1)
For the coordinates of the midpoint of side AB (sometimes called lower case c) Take the averages of the x values and the y values of points A and B. That would give you (1,4) for that side.
Use the same rule for the other sides.
To find the coordinates of the midpoint of each side of triangle ABC, you can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by the coordinates ( (x1 + x2) / 2, (y1 + y2) / 2).
Let's find the midpoint of side AB first:
Point A coordinates: (-4, 3)
Point B coordinates: (6, 5)
Using the midpoint formula:
Midpoint coordinates = ( (-4 + 6) / 2, (3 + 5) / 2)
= (2 / 2, 8 / 2)
= (1, 4)
So, the coordinates of the midpoint of side AB are (1, 4).
Similarly, let's find the coordinates of the midpoint of side AC:
Point A coordinates: (-4, 3)
Point C coordinates: (6, -1)
Using the midpoint formula:
Midpoint coordinates = ( (-4 + 6) / 2, (3 + -1) / 2)
= (2 / 2, 2 / 2)
= (1, 1)
So, the coordinates of the midpoint of side AC are (1, 1).
Lastly, let's find the coordinates of the midpoint of side BC:
Point B coordinates: (6, 5)
Point C coordinates: (6, -1)
Using the midpoint formula:
Midpoint coordinates = ( (6 + 6) / 2, (5 + -1) / 2)
= (12 / 2, 4 / 2)
= (6, 2)
So, the coordinates of the midpoint of side BC are (6, 2).
Therefore, the coordinates of the midpoints of triangle ABC are:
Midpoint of AB: (1, 4)
Midpoint of AC: (1, 1)
Midpoint of BC: (6, 2)