<-- Point 1
<-- Point 2
<-- Point 3
  

Calculate the area and centroid of a triangle

with vertices at (1,1), (2,3), and (4,5)

Calculate the Area:

Area  =  |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
  2

Area  =  |1(3 - 5) + 2(5 - 1) + 4(1 - 3)|
  2

Area  =  |1(-2) + 2(4) + 4(-2)|
  2

Area  =  |-2 + 8 + -8|
  2

Area  =  |-2|
  2

Area = 1

Centroid Formula:

x1 + x2 + x3
3
,
  
y1 + y2 + y3
3

1 + 2 + 4
3
,
  
1 + 3 + 5
3

7
3
,
  
9
3

Centroid = (2.3333333333333,3)


You have 2 free calculationss remaining



What is the Answer?
Centroid = (2.3333333333333,3)
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
Example calculations for the Triangle Coordinate Items Calculator
  1. (1,1),(2,3),(4,5)
  2. (2,2)(3,4)(8,9)

Triangle Coordinate Items Calculator Video


Tags:



Add This Calculator To Your Website




An Automated Online Math Tutor serving 8.1 million parents and students in 235 countries and territories.

Our Services
Top Categories
Community