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Triangle Area time limit:MS | Memory limit:65535 KB Difficulty:2
Describe
give you three points, representing the three vertices of a triangle, now your task is to find out the area of the triangle.
Input
each row is a set of test data, with 6 integer x1,y1,x2,y2,x3,y3 representing the horizontal ordinate of three points, respectively. (Coo
Title Address: POJ 1265Test instructions: Given a lattice polygon, find the internal number in, the number of points on the edge, and the area S.Ideas: The use of a lot of theorems.1. Pique theorem: s=in+on/2-1, i.e. in= (2*s+2-on)/2.2. Polygon Area formula: The sum of the cross product of a vector consisting of two adjacent points and the origin is calculated se
★ Calculate the square area and side length
If you need to calculate the area of a square, find a square with a long side. The following formula calculates the area of a square in the cell "side":
=side^2
If you need to calculate the perimeter of a square, multiply the length by 4. The following
Calculation of geometric poj pick formula cross-product Polygon Area Returns the contour of a polygon (given in the form of an edge vector. how many points are in this graph? 2. number of points in the graph. the area of the image. Idea: first, define the pick formula: The for
Set Ω to M edge shape (for example), vertices are arranged along the boundary forward, and the coordinates are
Create a polygon area vector graph of Ω.
A triangle is formed by two vertices adjacent to a polygon, and the area of the triangle is obtained by the outer product of two plane vectors composed of three vertices.
Area
for the number of points, I is any one point, X and Y are horizontal ordinate, ∑ is the sum. For example, the coordinates of the three vertices of a triangle in a planar Cartesian coordinate system are (a, b), (C,d), (e,f), then the area of the triangle is:0.5a (d-f) +0.5c (f-b) +0.5e ( b-d)You can also change the formula X to Y,y for x, the same reason.From: http://ete1314.blog.163.com/blog/static/16256113
To find the area of the triangle
/* Syntax: result = AREA3 (float x1, float y1, float x2, float y2, float x3, float y3);
Parameters:
x1~3: Triangle 3 vertices x coordinate
y1~3: Triangle 3 vertex y-coordinate
return value: Triangle area///
*
method: Helen-Qin Jiu formula known triangle A,b,c, then S area =√[p (P- A) (P
Polygon Area Calculation Formula
Function polygonArea (points) {var I, j; var area = 0; for (I = 0; I
Polygon Area Formula description:
We all know the three-point area formula of
Reference: http://iask.sina.com.cn/ B /9499520.html
What is the formula for calculating the perimeter and area of a triangle, rectangle, square, trapezoid, or circle?
Perimeter: girth area: Area
1. Triangle (General triangle, Helen formula)
Triangle
Perimeter L = A + B
DescribeImplements a C + + Triangle class that contains 3 points (CPoint type) and completes the area.The code in the main function is given, please fill it out, and do not include the code that you have given when committing.int main () {CPoint P1, p2, P3;while (cin>>p1>>p2>>p3) {Ctriangle T (P1, p2, p3); coutInputThe input data has multiple groups, each group contains x1, y1, x2, y2, x3, y3 six integers, representing three points (x1, y1), (x2, y2), (x3, Y3), three points not collinear.OutputE
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