Triangle in 2D – Solved Problems Database
All the problems and solutions shown below were generated using the Triangle Calculator.
ID |
Problem |
Count |
51 | Find the centroid of triangle $A=\left(4,~0\right)$ $B=\left(2,~9\right)$ $C=\left(0,~0\right)$. | 3 |
52 | Find the altitudes of triangle $A=\left(5,~-1\right)$ $B=\left(3,~-2\right)$ $C=\left(0,~-1\right)$. | 3 |
53 | Find the medians of triangle $A=\left(0,~0\right)$ $B=\left(8,~6\right)$ $C=\left(12,~0\right)$. | 3 |
54 | Find the altitudes of triangle $A=\left(1,~4\right)$ $B=\left(8,~0\right)$ $C=\left(7,~8\right)$. | 3 |
55 | Find the area of triangle $A=\left(1,~7\right)$ $B=\left(4,~5\right)$ $C=\left(4,~9\right)$. | 3 |
56 | Find the medians of triangle $A=\left(1,~3\right)$ $B=\left(-2,~-2\right)$ $C=\left(5,~-1\right)$. | 3 |
57 | Find the medians of triangle $\left(1,~3\right)$ $\left(5,~6\right)$ $\left(8,~1\right)$. | 3 |
58 | Find the area of triangle $A=\left(7,~5\right)$ $B=\left(7,~3\right)$ $C=\left(9,~3\right)$. | 3 |
59 | Find the medians of triangle $A=\left(2,~0\right)$ $B=\left(3,~1\right)$ $C=\left(5,~7\right)$. | 3 |
60 | Find the altitudes of triangle $A=\left(-6,~-4\right)$ $B=\left(6,~5\right)$ $C=\left(10,~-2\right)$. | 3 |
61 | Find the area of triangle $A=\left(-2,~3\right)$ $B=\left(2,~1\right)$ $C=\left(1,~4\right)$. | 3 |
62 | Find the area of triangle $\left(3,~3\right)$ $\left(4,~7\right)$ $\left(8,~6\right)$. | 3 |
63 | Find the centroid of triangle $\left(0,~0\right)$ $\left(2,~10\right)$ $\left(8,~0\right)$. | 3 |
64 | Find the orthocenter of triangle $\left(3,~5\right)$ $\left(1,~0\right)$ $\left(5,~0\right)$. | 3 |
65 | Find the medians of triangle $\left(0,~0\right)$ $\left(-5,~-\dfrac{ 5 }{ 2 }\right)$ $\left(-8,~-1\right)$. | 3 |
66 | Find the altitudes of triangle $\left(4,~1\right)$ $\left(2,~2\right)$ $\left(3,~5\right)$. | 3 |
67 | Find the altitudes of triangle $\left(-3,~2\right)$ $\left(-5,~-4\right)$ $\left(5,~1\right)$. | 3 |
68 | Find the centroid of triangle $\left(5,~6\right)$ $\left(-1,~10\right)$ $\left(0,~-3\right)$. | 3 |
69 | Find the orthocenter of triangle $\left(4,~3\right)$ $\left(2,~-2\right)$ $\left(7,~-1\right)$. | 3 |
70 | Find the altitudes of triangle $\left(3,~6\right)$ $\left(5,~8\right)$ $\left(9,~2\right)$. | 3 |
71 | Find the altitudes of triangle $\left(1,~6\right)$ $\left(7,~3\right)$ $\left(10,~5\right)$. | 3 |
72 | Find the area of triangle $\left(2,~7\right)$ $\left(6,~10\right)$ $\left(12,~1\right)$. | 3 |
73 | Find the orthocenter of triangle $A=\left(0,~12\right)$ $B=\left(12,~6\right)$ $C=\left(0,~-16\right)$. | 3 |
74 | Find the medians of triangle $\left(10,~2\right)$ $\left(4,~-2\right)$ $\left(-4,~6\right)$. | 3 |
75 | Find the area of triangle $A=\left(\dfrac{ 1 }{ 2 },~1\right)$ $B=\left(0,~4\right)$ $C=\left(-8,~0\right)$. | 3 |
76 | Find the area of triangle $A=\left(-4,~-2\right)$ $B=\left(0,~8\right)$ $C=\left(3,~1\right)$. | 3 |
77 | Find the area of triangle $A=\left(-6,~2\right)$ $B=\left(-3,~6\right)$ $C=\left(5,~0\right)$. | 3 |
78 | Find the medians of triangle $\left(-9,~-9\right)$ $\left(-6,~-4\right)$ $\left(-4,~-6\right)$. | 3 |
79 | Find the incenter of triangle $\left(0,~0\right)$ $\left(6,~0\right)$ $\left(0,~9\right)$. | 3 |
80 | Find the circumcenter of triangle $A=\left(1,~3\right)$ $B=\left(-2,~-2\right)$ $C=\left(4,~-2\right)$. | 3 |
81 | Find the circumcenter of triangle $\left(0,~0\right)$ $\left(6,~0\right)$ $\left(0,~9\right)$. | 3 |
82 | Find the circumcenter of triangle $A=\left(2,~3\right)$ $B=\left(5,~4\right)$ $C=\left(3,~7\right)$. | 3 |
83 | Find the area of triangle $A=\left(-7,~4\right)$ $B=\left(-3,~7\right)$ $C=\left(-9,~9\right)$. | 3 |
84 | Find the centroid of triangle $\left(1,~-1\right)$ $\left(-2,~1\right)$ $\left(1,~-3\right)$. | 3 |
85 | Find the altitudes of triangle $A=\left(2,~4\right)$ $B=\left(-3,~-6\right)$ $C=\left(4,~-2\right)$. | 3 |
86 | Find the area of triangle $\left(1,~2\right)$ $\left(2,~-2\right)$ $\left(6,~1\right)$. | 3 |
87 | Find the area of triangle $A=\left(-3,~1\right)$ $B=\left(1,~2\right)$ $C=\left(-3,~4\right)$. | 2 |
88 | Find the circumcenter of triangle $\left(8,~0\right)$ $\left(7,~0\right)$ $\left(3,~5\right)$. | 2 |
89 | Find the circumcenter of triangle $\left(5,~1\right)$ $\left(9,~2\right)$ $\left(7,~7\right)$. | 2 |
90 | Find the centroid of triangle $\left(5,~1\right)$ $\left(9,~2\right)$ $\left(7,~7\right)$. | 2 |
91 | Find the area of triangle $\left(-2,~5\right)$ $\left(-2,~-3\right)$ $\left(4,~-3\right)$. | 2 |
92 | Find the circumcenter of triangle $A=\left(-3,~1\right)$ $B=\left(1,~2\right)$ $C=\left(-3,~4\right)$. | 2 |
93 | Find the centroid of triangle $\left(4,~3\right)$ $\left(2,~-2\right)$ $\left(7,~-1\right)$. | 2 |
94 | Find the centroid of triangle $\left(1,~2\right)$ $\left(2,~-2\right)$ $\left(6,~1\right)$. | 2 |
95 | Find the circumcenter of triangle $\left(1,~2\right)$ $\left(3,~-1\right)$ $\left(4,~0\right)$. | 2 |
96 | Find the incenter of triangle $\left(1,~2\right)$ $\left(2,~-2\right)$ $\left(6,~1\right)$. | 2 |
97 | Find the area of triangle $A=\left(-1,~0\right)$ $B=\left(0,~-2\right)$ $C=\left(3,~1\right)$. | 2 |
98 | Find the circumcenter of triangle $\left(1,~2\right)$ $\left(2,~-2\right)$ $\left(6,~1\right)$. | 2 |
99 | Find the altitudes of triangle $\left(-1,~2\right)$ $\left(1,~5\right)$ $\left(3,~4\right)$. | 2 |
100 | Find the centroid of triangle $A=\left(5,~-1\right)$ $B=\left(3,~-2\right)$ $C=\left(0,~-1\right)$. | 2 |