Triangle in 2D
(the database of solved problems)
All the problems and solutions shown below were generated using the Triangle Calculator.
| ID |
Problem |
Count |
| 1951 | Find the orthocenter of triangle $\left(0,~5\right)$ $\left(-6,~5\right)$ $\left(-5,~10\right)$. | 2 |
| 1952 | Find the orthocenter of triangle $\left(-6,~4\right)$ $\left(8,~-1\right)$ $\left(3,~9\right)$. | 2 |
| 1953 | Find the centroid of triangle $\left(3,~3\right)$ $\left(8,~-5\right)$ $\left(-2,~-5\right)$. | 2 |
| 1954 | Find the circumcenter of triangle $\left(-6,~4\right)$ $\left(8,~-1\right)$ $\left(3,~9\right)$. | 2 |
| 1955 | Find the centroid of triangle $\left(5,~6\right)$ $\left(-2,~-4\right)$ $\left(7,~-6\right)$. | 2 |
| 1956 | Find the orthocenter of triangle $\left(5,~1\right)$ $\left(4,~5\right)$ $\left(-3,~-2\right)$. | 2 |
| 1957 | Find the orthocenter of triangle $\left(3,~1\right)$ $\left(-1,~-5\right)$ $\left(5,~-7\right)$. | 2 |
| 1958 | Find the centroid of triangle $\left(-1,~6\right)$ $\left(2,~0\right)$ $\left(-3,~-1\right)$. | 2 |
| 1959 | Find the circumcenter of triangle $\left(3,~1\right)$ $\left(-1,~-5\right)$ $\left(5,~-7\right)$. | 2 |
| 1960 | Find the centroid of triangle $\left(3,~1\right)$ $\left(-1,~-5\right)$ $\left(5,~-7\right)$. | 2 |
| 1961 | Find the orthocenter of triangle $\left(8,~3\right)$ $\left(-2,~1\right)$ $\left(0,~13\right)$. | 2 |
| 1962 | Find the orthocenter of triangle $\left(4,~4\right)$ $\left(10,~-2\right)$ $\left(12,~10\right)$. | 2 |
| 1963 | Find the centroid of triangle $\left(1,~-4\right)$ $\left(7,~2\right)$ $\left(3,~6\right)$. | 2 |
| 1964 | Find the circumcenter of triangle $\left(2,~1\right)$ $\left(-6,~-3\right)$ $\left(4,~-9\right)$. | 2 |
| 1965 | Find the centroid of triangle $\left(4,~4\right)$ $\left(10,~-2\right)$ $\left(12,~10\right)$. | 2 |
| 1966 | Find the circumcenter of triangle $\left(-3,~5\right)$ $\left(3,~-2\right)$ $\left(6,~6\right)$. | 2 |
| 1967 | Find the circumcenter of triangle $\left(4,~3\right)$ $\left(6,~9\right)$ $\left(8,~8\right)$. | 2 |
| 1968 | Find the centroid of triangle $\left(-3,~5\right)$ $\left(3,~-2\right)$ $\left(6,~6\right)$. | 2 |
| 1969 | Find the centroid of triangle $\left(-1,~7\right)$ $\left(-3,~2\right)$ $\left(5,~2\right)$. | 2 |
| 1970 | Find the centroid of triangle $\left(4,~2\right)$ $\left(-8,~8\right)$ $\left(-6,~-2\right)$. | 2 |
| 1971 | Find the orthocenter of triangle $\left(3,~2\right)$ $\left(9,~4\right)$ $\left(5,~12\right)$. | 2 |
| 1972 | Find the centroid of triangle $\left(3,~2\right)$ $\left(9,~4\right)$ $\left(5,~12\right)$. | 2 |
| 1973 | Find the medians of triangle $\left(-8,~-3\right)$ $\left(9,~5\right)$ $\left(-9,~1\right)$. | 2 |
| 1974 | Find the orthocenter of triangle $\left(7,~4\right)$ $\left(1,~2\right)$ $\left(4,~7\right)$. | 2 |
| 1975 | Find the centroid of triangle $\left(0,~7\right)$ $\left(0,~-1\right)$ $\left(7,~6\right)$. | 2 |
| 1976 | Find the area of triangle $\left(2,~0\right)$ $\left(-6,~10\right)$ $\left(-10,~4\right)$. | 2 |
| 1977 | Find the area of triangle $\left(0,~0\right)$ $\left(6,~6\right)$ $\left(15,~0\right)$. | 2 |
| 1978 | Find the area of triangle $\left(0,~0\right)$ $\left(5,~8\right)$ $\left(9,~0\right)$. | 2 |
| 1979 | Find the area of triangle $\left(0,~0\right)$ $\left(5,~8\right)$ $\left(6,~6\right)$. | 2 |
| 1980 | Find the area of triangle $\left(0,~0\right)$ $\left(9,~0\right)$ $\left(6,~6\right)$. | 2 |
| 1981 | Find the altitudes of triangle $\left(-4,~5\right)$ $\left(-2,~-3\right)$ $\left(4,~1\right)$. | 2 |
| 1982 | Find the area of triangle $\left(2,~6\right)$ $\left(-2,~2\right)$ $\left(5,~2\right)$. | 2 |
| 1983 | Find the orthocenter of triangle $\left(8,~4\right)$ $\left(4,~-6\right)$ $\left(0,~0\right)$. | 2 |
| 1984 | Find the centroid of triangle $\left(-1,~0\right)$ $\left(0.43,~16.1875\right)$ $\left(6.32,~0\right)$. | 2 |
| 1985 | Find the area of triangle $\left(4,~1\right)$ $\left(1,~5\right)$ $\left(7,~1\right)$. | 2 |
| 1986 | Find the circumcenter of triangle $\left(6,~7\right)$ $\left(-8,~8\right)$ $\left(4,~-8\right)$. | 1 |
| 1987 | Find the orthocenter of triangle $\left(6,~8\right)$ $\left(-2,~0\right)$ $\left(-7,~-7\right)$. | 1 |
| 1988 | Find the circumcenter of triangle $\left(7,~8\right)$ $\left(0,~-5\right)$ $\left(5,~2\right)$. | 1 |
| 1989 | Find the circumcenter of triangle $\left(7,~9\right)$ $\left(-6,~2\right)$ $\left(-7,~-6\right)$. | 1 |
| 1990 | Find the medians of triangle $\left(4,~5\right)$ $\left(-4,~3\right)$ $\left(0,~-5\right)$. | 1 |
| 1991 | Find the medians of triangle $\left(1,~3\right)$ $\left(4,~-1\right)$ $\left(5,~6\right)$. | 1 |
| 1992 | Find the centroid of triangle $\left(-2,~4\right)$ $\left(5,~3\right)$ $\left(-4,~-1\right)$. | 1 |
| 1993 | Find the medians of triangle $\left(-3,~15\right)$ $\left(1,~5\right)$ $\left(5,~10\right)$. | 1 |
| 1994 | Find the centroid of triangle $\left(0,~7\right)$ $\left(-6,~1\right)$ $\left(6,~-5\right)$. | 1 |
| 1995 | Find the medians of triangle $\left(1,~0\right)$ $\left(7,~0\right)$ $\left(5,~8\right)$. | 1 |
| 1996 | Find the area of triangle $\left(1,~4\right)$ $\left(8,~0\right)$ $\left(7,~8\right)$. | 1 |
| 1997 | Find the medians of triangle $\left(2,~4\right)$ $\left(4,~5\right)$ $\left(6,~9\right)$. | 1 |
| 1998 | Find the circumcenter of triangle $\left(-7,~-5\right)$ $\left(-5,~8\right)$ $\left(7,~7\right)$. | 1 |
| 1999 | Find the circumcenter of triangle $\left(-2,~6\right)$ $\left(3,~7\right)$ $\left(2,~2\right)$. | 1 |
| 2000 | Find the circumcenter of triangle $\left(7,~-3\right)$ $\left(5,~4\right)$ $\left(3,~-4\right)$. | 1 |