I have given 6 triangle indexes in 2D and I don't know how to calculate the area of this triangle example (1 1, 2 4, 3 2) are equal to 2.5. Can anyone help me, please? I am keen to write it in C++.
# | User | Rating |
---|---|---|
1 | tourist | 4009 |
2 | jiangly | 3823 |
3 | Benq | 3738 |
4 | Radewoosh | 3633 |
5 | jqdai0815 | 3620 |
6 | orzdevinwang | 3529 |
7 | ecnerwala | 3446 |
8 | Um_nik | 3396 |
9 | ksun48 | 3390 |
10 | gamegame | 3386 |
# | User | Contrib. |
---|---|---|
1 | cry | 166 |
2 | maomao90 | 163 |
2 | Um_nik | 163 |
4 | atcoder_official | 161 |
5 | adamant | 159 |
6 | -is-this-fft- | 158 |
7 | awoo | 157 |
8 | TheScrasse | 154 |
9 | nor | 153 |
9 | Dominater069 | 153 |
I have given 6 triangle indexes in 2D and I don't know how to calculate the area of this triangle example (1 1, 2 4, 3 2) are equal to 2.5. Can anyone help me, please? I am keen to write it in C++.
Name |
---|
A = (1/2) |x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)|
A => Area of Triangle
First, we can calculate the length of AB, AC, and BC using:
$$$AB = \sqrt{(B_x - A_x)^2 + (B_y - A_y)^2}$$$,
$$$AC = \sqrt{(C_x - A_x)^2 + (C_y - A_y)^2}$$$,
$$$BC = \sqrt{(C_x - B_x)^2 + (C_y - B_y)^2}$$$
Let's call $$$p = \frac{AB + AC + AD}{2}$$$
Area of triangle will $$$S = \sqrt{p\times(p-AB)\times(p-AC)\times(p-BC)}$$$
Thanks a lot also i want to ask that how I can find the point lies on a segment or not?
Let's say that you want to check whether the point $$$C$$$ lies on the segment $$$AB$$$. Point will lie on the segment if and only if area of triangle $$$ABC$$$ will be $$$0$$$ and $$$|A_x-C_x|+|C_x-B_x|=|A_x-B_x|$$$.
thank you very much