Triangle in 2D – Solved Problems Database
All the problems and solutions shown below were generated using the Triangle Calculator.
ID |
Problem |
Count |
1 | Find the circumcenter of triangle $A=\left(1,~5\right)$ $B=\left(3,~3\right)$ $C=\left(3,~5\right)$. | 25 |
2 | Find the area of triangle $A=\left(2,~1\right)$ $B=\left(3,~-2\right)$ $C=\left(-4,~-1\right)$. | 21 |
3 | Find the circumcenter of triangle $\left(1,~-1\right)$ $\left(-2,~1\right)$ $\left(1,~-3\right)$. | 8 |
4 | Find the orthocenter of triangle $\left(1,~-1\right)$ $\left(-2,~1\right)$ $\left(1,~-3\right)$. | 7 |
5 | Find the medians of triangle $A=\left(-6,~-4\right)$ $B=\left(6,~5\right)$ $C=\left(10,~-2\right)$. | 6 |
6 | Find the area of triangle $A=\left(0,~0\right)$ $B=\left(0,~2\right)$ $C=\left(3,~4\right)$. | 5 |
7 | Find the medians of triangle $A=\left(0,~0\right)$ $B=\left(4,~4\right)$ $C=\left(8,~-4\right)$. | 5 |
8 | Find the orthocenter of triangle $\left(0,~10\right)$ $\left(4,~10\right)$ $\left(-2,~4\right)$. | 5 |
9 | Find the circumcenter of triangle $\left(5,~6\right)$ $\left(-1,~10\right)$ $\left(0,~-3\right)$. | 5 |
10 | Find the altitudes of triangle $A=\left(0,~0\right)$ $B=\left(8,~0\right)$ $C=\left(4,~12\right)$. | 5 |
11 | Find the orthocenter of triangle $A=\left(4,~-3\right)$ $B=\left(-1,~-2\right)$ $C=\left(7,~3\right)$. | 5 |
12 | Find the medians of triangle $\left(-2,~4\right)$ $\left(4,~3\right)$ $\left(1,~-6\right)$. | 4 |
13 | Find the centroid of triangle $A=\left(4,~7\right)$ $B=\left(6,~-1\right)$ $C=\left(-2,~3\right)$. | 4 |
14 | Find the orthocenter of triangle $A=\left(-2,~1\right)$ $B=\left(2,~-1\right)$ $C=\left(0,~4\right)$. | 4 |
15 | Find the altitudes of triangle $A=\left(15,~7\right)$ $B=\left(6,~11\right)$ $C=\left(26,~1\right)$. | 4 |
16 | Find the orthocenter of triangle $A=\left(0,~0\right)$ $B=\left(0,~60\right)$ $C=\left(96,~48\right)$. | 4 |
17 | Find the orthocenter of triangle $A=\left(-2,~5\right)$ $B=\left(5,~1\right)$ $C=\left(-4,~-5\right)$. | 4 |
18 | Find the orthocenter of triangle $A=\left(-\dfrac{ 5 }{ 3 },~\dfrac{ 245 }{ 9 }\right)$ $B=\left(0,~5\right)$ $C=\left(15,~5\right)$. | 4 |
19 | Find the incenter of triangle $A=\left(-\dfrac{ 5 }{ 3 },~\dfrac{ 245 }{ 9 }\right)$ $B=\left(15,~5\right)$ $C=\left(0,~5\right)$. | 4 |
20 | Find the circumcenter of triangle $A=\left(-\dfrac{ 5 }{ 3 },~\dfrac{ 245 }{ 9 }\right)$ $B=\left(15,~5\right)$ $C=\left(0,~5\right)$. | 4 |
21 | Find the altitudes of triangle $A=\left(-\dfrac{ 5 }{ 3 },~\dfrac{ 245 }{ 9 }\right)$ $B=\left(15,~5\right)$ $C=\left(0,~5\right)$. | 4 |
22 | Find the medians of triangle $A=\left(-3,~7\right)$ $B=\left(4,~-5\right)$ $C=\left(9,~-3\right)$. | 4 |
23 | Find the circumcenter of triangle $\left(-2,~7\right)$ $\left(1,~2\right)$ $\left(-4,~-1\right)$. | 4 |
24 | Find the orthocenter of triangle $\left(-2,~7\right)$ $\left(1,~2\right)$ $\left(-4,~-1\right)$. | 4 |
25 | Find the area of triangle $\left(5,~6\right)$ $\left(-1,~10\right)$ $\left(0,~-3\right)$. | 4 |
26 | Find the orthocenter of triangle $\left(5,~6\right)$ $\left(-1,~10\right)$ $\left(0,~-3\right)$. | 4 |
27 | Find the area of triangle $A=\left(-3,~5\right)$ $B=\left(3,~2\right)$ $C=\left(1,~-2\right)$. | 4 |
28 | Find the area of triangle $\left(0,~0\right)$ $\left(8,~6\right)$ $\left(4,~10\right)$. | 4 |
29 | Find the altitudes of triangle $A=\left(4,~-3\right)$ $B=\left(-1,~-2\right)$ $C=\left(7,~3\right)$. | 4 |
30 | Find the area of triangle $A=\left(2,~4\right)$ $B=\left(6,~8\right)$ $C=\left(6,~2\right)$. | 3 |
31 | Find the medians of triangle $A=\left(1,~7\right)$ $B=\left(2,~3\right)$ $C=\left(6,~7\right)$. | 3 |
32 | Find the area of triangle $A=\left(-4,~-2\right)$ $B=\left(3,~-1\right)$ $C=\left(1,~3\right)$. | 3 |
33 | Find the area of triangle $A=\left(-2,~1\right)$ $B=\left(3,~1\right)$ $C=\left(1,~5\right)$. | 3 |
34 | Find the medians of triangle $A=\left(4,~7\right)$ $B=\left(6,~-1\right)$ $C=\left(-2,~3\right)$. | 3 |
35 | Find the centroid of triangle $A=\left(4,~0\right)$ $B=\left(2,~9\right)$ $C=\left(0,~0\right)$. | 3 |
36 | Find the altitudes of triangle $A=\left(5,~-1\right)$ $B=\left(3,~-2\right)$ $C=\left(0,~-1\right)$. | 3 |
37 | Find the altitudes of triangle $A=\left(1,~4\right)$ $B=\left(8,~0\right)$ $C=\left(7,~8\right)$. | 3 |
38 | Find the incenter of triangle $\left(1,~3\right)$ $\left(6,~4\right)$ $\left(2,~11\right)$. | 3 |
39 | Find the area of triangle $A=\left(1,~7\right)$ $B=\left(4,~5\right)$ $C=\left(4,~9\right)$. | 3 |
40 | Find the medians of triangle $A=\left(1,~3\right)$ $B=\left(-2,~-2\right)$ $C=\left(5,~-1\right)$. | 3 |
41 | Find the area of triangle $A=\left(7,~5\right)$ $B=\left(7,~3\right)$ $C=\left(9,~3\right)$. | 3 |
42 | Find the medians of triangle $A=\left(2,~0\right)$ $B=\left(3,~1\right)$ $C=\left(5,~7\right)$. | 3 |
43 | Find the medians of triangle $A=\left(4,~0\right)$ $B=\left(-1,~-1\right)$ $C=\left(11,~5\right)$. | 3 |
44 | Find the medians of triangle $A=\left(-1,~2\right)$ $B=\left(3,~4\right)$ $C=\left(1,~5\right)$. | 3 |
45 | Find the centroid of triangle $A=\left(-1,~2\right)$ $B=\left(3,~4\right)$ $C=\left(1,~5\right)$. | 3 |
46 | Find the altitudes of triangle $A=\left(-6,~-4\right)$ $B=\left(6,~5\right)$ $C=\left(10,~-2\right)$. | 3 |
47 | Find the area of triangle $A=\left(-2,~3\right)$ $B=\left(2,~1\right)$ $C=\left(1,~4\right)$. | 3 |
48 | Find the orthocenter of triangle $\left(3,~5\right)$ $\left(1,~0\right)$ $\left(5,~0\right)$. | 3 |
49 | Find the centroid of triangle $\left(-2,~7\right)$ $\left(1,~2\right)$ $\left(-4,~-1\right)$. | 3 |
50 | Find the medians of triangle $\left(0,~0\right)$ $\left(-5,~-\dfrac{ 5 }{ 2 }\right)$ $\left(-8,~-1\right)$. | 3 |