Triangle in 2D
(the database of solved problems)
All the problems and solutions shown below were generated using the Triangle Calculator.
| ID |
Problem |
Count |
| 501 | Find the altitudes of triangle $\left(1,~1\right)$ $\left(3,~5\right)$ $\left(5,~2\right)$. | 3 |
| 502 | Find the orthocenter of triangle $\left(0,~4\right)$ $\left(0,~10\right)$ $\left(5,~4\right)$. | 3 |
| 503 | Find the circumcenter of triangle $\left(1,~1\right)$ $\left(6,~1\right)$ $\left(4,~5\right)$. | 3 |
| 504 | Find the area of triangle $\left(1,~5\right)$ $\left(3,~3\right)$ $\left(3,~5\right)$. | 3 |
| 505 | Find the centroid of triangle $\left(0,~1\right)$ $\left(2,~6\right)$ $\left(7,~2\right)$. | 3 |
| 506 | Find the area of triangle $\left(-6,~0\right)$ $\left(5,~-3\right)$ $\left(\dfrac{ 23 }{ 5 },~0\right)$. | 3 |
| 507 | Find the centroid of triangle $\left(0,~0\right)$ $\left(-2,~-8\right)$ $\left(10,~6\right)$. | 3 |
| 508 | Find the orthocenter of triangle $\left(8,~-4\right)$ $\left(-4,~0\right)$ $\left(4,~8\right)$. | 3 |
| 509 | Find the circumcenter of triangle $\left(8,~4\right)$ $\left(-2,~4\right)$ $\left(-2,~-1\right)$. | 3 |
| 510 | Find the circumcenter of triangle $\left(-12,~21\right)$ $\left(-21,~-12\right)$ $\left(21,~-12\right)$. | 3 |
| 511 | Find the circumcenter of triangle $\left(5,~2\right)$ $\left(1,~5\right)$ $\left(7,~8\right)$. | 3 |
| 512 | Find the area of triangle $\left(0,~2\right)$ $\left(5,~4\right)$ $\left(5,~0\right)$. | 3 |
| 513 | Find the altitudes of triangle $\left(2,~4\right)$ $\left(1,~3\right)$ $\left(5,~7\right)$. | 3 |
| 514 | Find the orthocenter of triangle $\left(-1,~0\right)$ $\left(-5,~-12\right)$ $\left(11,~4\right)$. | 3 |
| 515 | Find the incenter of triangle $\left(0,~-2\right)$ $\left(6,~10\right)$ $\left(6,~-5\right)$. | 3 |
| 516 | Find the orthocenter of triangle $\left(-12,~6\right)$ $\left(-4,~-10\right)$ $\left(4,~-16\right)$. | 3 |
| 517 | Find the centroid of triangle $\left(-12,~6\right)$ $\left(-4,~-10\right)$ $\left(4,~-16\right)$. | 3 |
| 518 | Find the medians of triangle $\left(0,~0\right)$ $\left(4 \sqrt{ 2 },~0\right)$ $\left(0,~2\right)$. | 3 |
| 519 | Find the circumcenter of triangle $\left(-4,~-2\right)$ $\left(0,~2\right)$ $\left(4,~-4\right)$. | 3 |
| 520 | Find the area of triangle $\left(-5,~-1\right)$ $\left(0,~-1\right)$ $\left(-5,~5\right)$. | 3 |
| 521 | Find the orthocenter of triangle $\left(-9,~9\right)$ $\left(-6,~6\right)$ $\left(0,~6\right)$. | 3 |
| 522 | Find the medians of triangle $\left(-9,~2\right)$ $\left(-1,~9\right)$ $\left(9,~1\right)$. | 3 |
| 523 | Find the orthocenter of triangle $\left(1,~-10\right)$ $\left(9,~-1\right)$ $\left(-5,~5\right)$. | 3 |
| 524 | Find the circumcenter of triangle $\left(-5,~0\right)$ $\left(10,~10\right)$ $\left(8,~-10\right)$. | 3 |
| 525 | Find the medians of triangle $\left(1,~2\right)$ $\left(3,~4\right)$ $\left(1,~5\right)$. | 3 |
| 526 | Find the orthocenter of triangle $\left(1,~4\right)$ $\left(9,~16\right)$ $\left(25,~36\right)$. | 3 |
| 527 | Find the orthocenter of triangle $\left(-8,~4\right)$ $\left(5,~7\right)$ $\left(0,~-3\right)$. | 3 |
| 528 | Find the area of triangle $\left(-3,~1\right)$ $\left(5,~-3\right)$ $\left(3,~6\right)$. | 3 |
| 529 | Find the circumcenter of triangle $\left(6,~2\right)$ $\left(4,~3\right)$ $\left(7,~5\right)$. | 3 |
| 530 | Find the centroid of triangle $\left(-2,~8\right)$ $\left(-6,~-2\right)$ $\left(12,~6\right)$. | 3 |
| 531 | Find the circumcenter of triangle $\left(1,~3\right)$ $\left(7,~-3\right)$ $\left(9,~5\right)$. | 3 |
| 532 | Find the centroid of triangle $\left(0,~0\right)$ $\left(5,~12\right)$ $\left(10,~0\right)$. | 3 |
| 533 | Find the circumcenter of triangle $\left(1,~2\right)$ $\left(3,~-4\right)$ $\left(-1,~-6\right)$. | 3 |
| 534 | Find the orthocenter of triangle $\left(-3,~2\right)$ $\left(2,~5\right)$ $\left(7,~-2\right)$. | 3 |
| 535 | Find the circumcenter of triangle $\left(2,~3\right)$ $\left(5,~7\right)$ $\left(11,~13\right)$. | 3 |
| 536 | Find the area of triangle $\left(0,~8\right)$ $\left(16,~0\right)$ $\left(0,~0\right)$. | 3 |
| 537 | Find the area of triangle $\left(0,~8\right)$ $\left(0,~4\right)$ $\left(0,~0\right)$. | 3 |
| 538 | Find the medians of triangle $\left(20,~12\right)$ $\left(-8,~-6\right)$ $\left(12,~-6\right)$. | 3 |
| 539 | Find the medians of triangle $\left(1,~0\right)$ $\left(3,~6\right)$ $\left(8,~2\right)$. | 3 |
| 540 | Find the medians of triangle $\left(-3,~2\right)$ $\left(5,~4\right)$ $\left(3,~-8\right)$. | 3 |
| 541 | Find the area of triangle $\left(3,~4\right)$ $\left(5,~1\right)$ $\left(4,~-2\right)$. | 3 |
| 542 | Find the centroid of triangle $\left(4,~-1\right)$ $\left(5,~3\right)$ $\left(-8,~5\right)$. | 3 |
| 543 | Find the medians of triangle $\left(6,~1\right)$ $\left(-6,~2\right)$ $\left(0,~4\right)$. | 3 |
| 544 | Find the area of triangle $\left(0,~0\right)$ $\left(1,~8\right)$ $\left(3,~5\right)$. | 3 |
| 545 | Find the orthocenter of triangle $\left(-2,~1\right)$ $\left(2,~1\right)$ $\left(0,~4\right)$. | 3 |
| 546 | Find the circumcenter of triangle $\left(0,~0\right)$ $\left(8,~0\right)$ $\left(3,~5\right)$. | 3 |
| 547 | Find the circumcenter of triangle $\left(-90,~96\right)$ $\left(45,~75\right)$ $\left(-60,~-30\right)$. | 3 |
| 548 | Find the circumcenter of triangle $\left(5,~2\right)$ $\left(5,~8\right)$ $\left(8,~5\right)$. | 3 |
| 549 | Find the circumcenter of triangle $\left(0,~2\right)$ $\left(-2,~0\right)$ $\left(-18,~6\right)$. | 3 |
| 550 | Find the centroid of triangle $\left(0,~-2\right)$ $\left(-2,~0\right)$ $\left(-18,~6\right)$. | 3 |
