Calculate the area and centroid of a triangle
with vertices at (-1,-3), (2,1), and (8,-4)
Calculate the Area:
| Area = | |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)| |
| 2 |
| Area = | |-1(1 - -4) + 2(-4 - -3) + 8(-3 - 1)| |
| 2 |
| Area = | |-1(5) + 2(-1) + 8(-4)| |
| 2 |
| Area = | |-5 + -2 + -32| |
| 2 |
| Area = | |-39| |
| 2 |
Area = 19.5
Centroid Formula:
| x1 + x2 + x3 |
| 3 |
| y1 + y2 + y3 |
| 3 |
| -1 + 2 + 8 |
| 3 |
| -3 + 1 + -4 |
| 3 |
Centroid = (3,-2)
You have 1 free calculations remaining
What is the Answer?
Centroid = (3,-2)
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?
Area = ½|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Triangle Coordinate Items Calculator?
- area
- Number of square units covering the shape
- centroid
- the point in a triangle where the three medians coincide
- triangle
- a flat geometric figure that has three sides and three angles
- triangle coordinate items
- vertices
- Multiple vertexes
