CPKit
v1.6.1

Triangle Properties

GeometryEasy

Verify centroid coordinate, area, perimeter, and side type structures.

Alt+Shift+T

Triangle Grid (Drag A, B, or C)

A (-3, -2)B (3, -2)C (0, 3)Centroid (0, -0.3333333333333333)
Centroid Coordinate:(0.00, -0.33)
Triangle Area:15.00 sq units
Triangle Perimeter:17.6619 units
Triangle Category Type:Isosceles

Time Complexity

O(1) direct equation

Space Complexity

O(1) auxiliary
Conceptual Overview

Triangle properties analyze vertices bounds, centroid intersections, areas, and side lengths types categorization.

Mathematical Formula
Area = \frac{1}{2} |x_A(y_B - y_C) + x_B(y_C - y_A) + x_C(y_A - y_B)| \\ \text{Centroid} = \left(\frac{x_A+x_B+x_C}{3}, \frac{y_A+y_B+y_C}{3}\right)
Source: CP-Algorithms geometry reference