Equilateral Triangle
(the database of solved problems)
All the problems and solutions shown below were generated using the Equilateral Triangle Calculator.
| ID |
Problem |
Count |
| 1 | Find the side $ a $ of an equilateral triangle if altitude $h = 15\, \text{cm}$. | 1284 |
| 2 | Find the side $ a $ of an equilateral triangle if side $a = 12\, \text{m}$. | 1093 |
| 3 | Find the side $ a $ of an equilateral triangle if ???. | 341 |
| 4 | Find the side $ a $ of an equilateral triangle if altitude $h = 15$. | 184 |
| 5 | Find the side $ a $ of an equilateral triangle if side $a = 5\, \text{mm}$. | 175 |
| 6 | Find the area $ A $ of an equilateral triangle if side $a = 12$. | 169 |
| 7 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 17\, \text{cm}$. | 150 |
| 8 | Find the side $ a $ of an equilateral triangle if perimeter $P = 60\, \text{cm}$. | 126 |
| 9 | Find the side $ a $ of an equilateral triangle if side $a = 8\, \text{mm}$. | 122 |
| 10 | Find the side $ a $ of an equilateral triangle if side $a = 10\, \text{cm}$. | 116 |
| 11 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 5\, \text{cm}$. | 109 |
| 12 | Find the side $ a $ of an equilateral triangle if side $a = 10\, \text{cm}$. | 105 |
| 13 | Find the side $ a $ of an equilateral triangle if side $a = 2\, \text{mm}$, altitude $h = 2\, \text{cm}$, perimeter $P = 2\, \text{cm}$, area $A = 2\, \text{cm}$, circumcircle radius $R = 2\, \text{cm}$ and incircle radius $r = 2\, \text{cm}$. | 102 |
| 14 | Find the side $ a $ of an equilateral triangle if altitude $h = 26\, \text{cm}$. | 97 |
| 15 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 8\, \text{cm}$. | 97 |
| 16 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 8\, \text{cm}$. | 90 |
| 17 | Find the side $ a $ of an equilateral triangle if side $a = 2\, \text{mm}$. | 86 |
| 18 | Find the side $ a $ of an equilateral triangle if altitude $h = 6\, \text{cm}$ and perimeter $P = 6\, \text{cm}$. | 84 |
| 19 | Find the side $ a $ of an equilateral triangle if side $a = 15\, \text{cm}$. | 82 |
| 20 | Find the side $ a $ of an equilateral triangle if side $a = 6\, \text{m}$. | 79 |
| 21 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 10\, \text{cm}$. | 78 |
| 22 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 4\, \text{cm}$. | 75 |
| 23 | Find the side $ a $ of an equilateral triangle if side $a = 5\, \text{km}$. | 74 |
| 24 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 14\, \text{cm}$. | 67 |
| 25 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 4\, \text{cm}$. | 64 |
| 26 | Find the side $ a $ of an equilateral triangle if altitude $h = 36\, \text{cm}$. | 57 |
| 27 | Find the side $ a $ of an equilateral triangle if side $a = 6\, \text{cm}$. | 57 |
| 28 | Find the area $ A $ of an equilateral triangle if side $a = 8\, \text{ft}$. | 54 |
| 29 | Find the side $ a $ of an equilateral triangle if side $a = 30\, \text{m}$. | 53 |
| 30 | Find the side $ a $ of an equilateral triangle if ???. | 46 |
| 31 | Find the side $ a $ of an equilateral triangle if area $A = 2.5\, \text{cm}$. | 45 |
| 32 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 7\, \text{cm}$. | 45 |
| 33 | Find the side $ a $ of an equilateral triangle if side $a = 5$. | 37 |
| 34 | Find the area $ A $ of an equilateral triangle if incircle radius $r = 8$. | 34 |
| 35 | Find the side $ a $ of an equilateral triangle if altitude $h = 9\, \text{cm}$. | 34 |
| 36 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 9\, \text{cm}$. | 34 |
| 37 | Find the side $ a $ of an equilateral triangle if side $a = 4$. | 32 |
| 38 | Find the area $ A $ of an equilateral triangle if incircle radius $r = 17$. | 30 |
| 39 | Find the side $ a $ of an equilateral triangle if side $a = 10$. | 29 |
| 40 | Find the altitude $ h $ of an equilateral triangle if side $a = 6$. | 29 |
| 41 | Find the side $ a $ of an equilateral triangle if perimeter $P = 18\, \text{cm}$. | 28 |
| 42 | Find the side $ a $ of an equilateral triangle if side $a = 8$. | 28 |
| 43 | Find the side $ a $ of an equilateral triangle if perimeter $P = 60\, \text{cm}$. | 28 |
| 44 | Find the side $ a $ of an equilateral triangle if altitude $h = 61\, \text{cm}$. | 27 |
| 45 | Find the side $ a $ of an equilateral triangle if side $a = 3\, \text{mm}$. | 27 |
| 46 | Find the side $ a $ of an equilateral triangle if side $a = 30\, \text{mm}$. | 26 |
| 47 | Find the side $ a $ of an equilateral triangle if circumcircle radius $R = 12\, \text{cm}$. | 26 |
| 48 | Find the side $ a $ of an equilateral triangle if side $a = 2$. | 26 |
| 49 | Find the side $ a $ of an equilateral triangle if incircle radius $r = 9\, \text{cm}$. | 24 |
| 50 | Find the side $ a $ of an equilateral triangle if side $a = 4\, \text{mm}$. | 23 |