Area and centroid of a triangle with vertices at (2,2), (3,4), and (8,9)
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Calculate the area and centroid of a triangle
with vertices at (2,2), (3,4), and (8,9)
Calculate the Area:
Area =
|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
2
Area =
|2(4 - 9) + 3(9 - 2) + 8(2 - 4)|
2
Area =
|2(-5) + 3(7) + 8(-2)|
2
Area =
|-10 + 21 + -16|
2
Area =
|-5|
2
Area = 2.5
Centroid Formula:
x1 + x2 + x3
3
,
y1 + y2 + y3
3
2 + 3 + 8
3
,
2 + 4 + 9
3
13
3
,
15
3
Centroid = (4.3333333333333,5)
You have 2 free calculationss remaining
What is the Answer?
Centroid = (4.3333333333333,5)
How does the Triangle Coordinate Items Calculator work?
Free Triangle Coordinate Items Calculator - Enter 3 points for the vertices of a triangle, and this will calculate the area of that triangle and the centroid. This calculator has 3 inputs.
What 1 formula is used for the Triangle Coordinate Items Calculator?