A(5, 8) and D(2, -1) is mid point of BC. Find centroid of triangle ABC
Answers
Solution :-
First, Draw a rough figure
[ Refer to attachment ]
D(2, - 1) is the mid point of BC
Let the coordinates be B(x1, y1), C(x2,y2)
Using mid point formula
Substituting the Coordinates of D
Comparing x coordinates
Comparing y coordinates
Now, by using centroid formula
A(5,8) B(x1,y1) C(x2,y2)
Here,
- x1 + x2 = 4
- y1 + y2 = - 2
- x3 = 5
- y3 = 8
Substituting the values
Therefore the coordinates of centroid are (3,2)
![](https://hi-static.z-dn.net/files/d50/cc559ca3b34e10f2ff43b34f1280a7b8.jpg)
Given: A(5, 8) and D(2, -1) are the mid - points through BC.
To find: The centroid of the triangle.
Answer:
(Diagram for reference attached below.)
Mid - point formula:
Using this for D(2, -1),
Equating the x - coordinates,
Equating the y - coordinates,
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Formula to find the centroid,
We have:
→
→
→ A(5, 8) - [ ]
Using these values,
Therefore, the centroid of the triangle is (3, 2).
![](https://hi-static.z-dn.net/files/d61/e8d6b68627d1d1050d0e2783eed6e949.png)