Really need help please!!
triangle CDE has vertices C (-2,4) D (6,2) and E (-4,-2) determine the exact location of the centroid
Depends on the method you are supposed to use.
If no method is specified, here is one the neatest shortcuts to find the centroid:
add the x's and divide by 3
add the y's and divide by 3
centroid is (0,4/3)
I have to go through all the steps and find the midpoints and then the equations of the medians and then do substitution
please help me I need to finish this so that I can go into grade 11. A new water tower must be equidistant from three communities. They are located at (-25, 20) (-5, -40) and (15, 30). Find the coordinates of the point where the water tower should be built which i am assuming is the circumcenter. Please give all steps
To determine the exact location of the centroid of triangle CDE, you can use the following steps:
Step 1: Find the coordinates of the midpoint of each of the three sides of the triangle.
- To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:
Midpoint (M) = ((x1 + x2)/2, (y1 + y2)/2)
Let's calculate the midpoints:
- Midpoint of CD = ((-2 + 6)/2, (4 + 2)/2) = (2, 3)
- Midpoint of DE = ((6 + (-4))/2, (2 + (-2))/2) = (1, 0)
- Midpoint of EC = ((-4 + (-2))/2, (-2 + 4)/2) = (-3, 1)
Step 2: Find the average (centroid) of the three midpoints.
- To find the average of multiple points, add up their x-coordinates and divide by the number of points. Do the same for the y-coordinates.
Let's find the centroid:
- Centroid = ((2 + 1 + (-3))/3, (3 + 0 + 1)/3)
= (0, 1)
Therefore, the exact location of the centroid of triangle CDE is (0, 1).