Rhombus
(the database of solved problems)
All the problems and solutions shown below were generated using the Rhombus Calculator.
| ID |
Problem |
Count |
| 1 | Find the side $ a $ of a rhombus if side $a = 200\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 145^o$. | 382 |
| 2 | Find the side $ a $ of a rhombus if ???. | 275 |
| 3 | Find the side $ a $ of a rhombus if side $a = 12\, \text{yd}$ and diagonal $d_1 = 18\, \text{cm}$. | 160 |
| 4 | Find the side $ a $ of a rhombus if side $a = 15\, \text{km}$, perimeter $P = 60\, \text{cm}$ and diagonal $d_1 = 12\, \text{cm}$. | 138 |
| 5 | Find the side $ a $ of a rhombus if diagonal $d_1 = 5\, \text{cm}$ and diagonal $d_2 = 5\, \text{cm}$. | 101 |
| 6 | Find the side $ a $ of a rhombus if diagonal $d_1 = 4\, \text{cm}$ and diagonal $d_2 = 2.8\, \text{cm}$. | 99 |
| 7 | Find the side $ a $ of a rhombus if side $a = 12\, \text{cm}$ and angle $\alpha = 30^o$. | 84 |
| 8 | Find the side $ a $ of a rhombus if angle $\alpha = 67.38^o$ and angle $\beta = 112.62^o$. | 73 |
| 9 | Find the side $ a $ of a rhombus if diagonal $d_1 = 9\, \text{cm}$ and diagonal $d_2 = 5\, \text{cm}$. | 62 |
| 10 | Find the side $ a $ of a rhombus if area $A = 96\, \text{cm}$, diagonal $d_1 = 16\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 60 |
| 11 | Find the side $ a $ of a rhombus if area $A = 168\, \text{cm}$. | 56 |
| 12 | Find the side $ a $ of a rhombus if side $a = 2.29\, \text{cm}$ and height $h = 1.5\, \text{cm}$. | 54 |
| 13 | Find the side $ a $ of a rhombus if diagonal $d_2 = 59\, \text{cm}$ and angle $\beta = 59^o$. | 54 |
| 14 | Find the side $ a $ of a rhombus if side $a = 10\, \text{cm}$ and diagonal $d_2 = 4\, \text{cm}$. | 52 |
| 15 | Find the side $ a $ of a rhombus if side $a = 2290\, \text{cm}$, height $h = 1500\, \text{cm}$, incircle radius $r = 750\, \text{cm}$ and angle $\alpha = 66^o$. | 47 |
| 16 | Find the side $ a $ of a rhombus if area $A = 28\, \text{cm}$ and diagonal $d_2 = 8\, \text{cm}$. | 46 |
| 17 | Find the side $ a $ of a rhombus if area $A = 192\, \text{cm}$ and angle $\alpha = 67.38^o$. | 45 |
| 18 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_1 = 10\, \text{cm}$. | 43 |
| 19 | Find the side $ a $ of a rhombus if diagonal $d_1 = 20\, \text{cm}$ and diagonal $d_2 = 7\, \text{cm}$. | 43 |
| 20 | Find the side $ a $ of a rhombus if side $a = 10\, \text{cm}$ and perimeter $P = 40\, \text{cm}$. | 40 |
| 21 | Find the side $ a $ of a rhombus if area $A = 7 \sqrt{ 2 }\, \text{cm}$ and angle $\beta = 5^o$. | 38 |
| 22 | Find the side $ a $ of a rhombus if ???. | 38 |
| 23 | Find the side $ a $ of a rhombus if side $a = 13\, \text{mm}$. | 38 |
| 24 | Find the side $ a $ of a rhombus if side $a = 13\, \text{cm}$. | 36 |
| 25 | Find the side $ a $ of a rhombus if area $A = 192\, \text{cm}$, angle $\alpha = 67.38^o$ and angle $\beta = 112.62^o$. | 34 |
| 26 | Find the side $ a $ of a rhombus if diagonal $d_1 = 0.8\, \text{cm}$ and diagonal $d_2 = 2.5\, \text{cm}$. | 30 |
| 27 | Find the side $ a $ of a rhombus if ???. | 29 |
| 28 | Find the side $ a $ of a rhombus if diagonal $d_1 = 2\, \text{cm}$ and diagonal $d_2 = 2\, \text{cm}$. | 28 |
| 29 | Find the side $ a $ of a rhombus if side $a = 2114\, \text{mm}$ and angle $\beta = 123^o$. | 27 |
| 30 | Find the side $ a $ of a rhombus if area $A = 7 \sqrt{ 2 }\, \text{cm}$ and angle $\beta = 45^o$. | 26 |
| 31 | Find the side $ a $ of a rhombus if perimeter $P = 64\, \text{cm}$ and diagonal $d_2 = 8 \sqrt{ 5 }\, \text{cm}$. | 25 |
| 32 | Find the side $ a $ of a rhombus if side $a = 20\, \text{m}$ and area $A = 52.5\, \text{cm}$. | 24 |
| 33 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and height $h = 7\, \text{cm}$. | 23 |
| 34 | Find the side $ a $ of a rhombus if area $A = 480\, \text{cm}$ and incircle radius $r = 10\, \text{cm}$. | 23 |
| 35 | Find the side $ a $ of a rhombus if diagonal $d_1 = 32\, \text{cm}$ and diagonal $d_2 = 24\, \text{cm}$. | 23 |
| 36 | Find the side $ a $ of a rhombus if diagonal $d_2 = 62\, \text{cm}$. | 22 |
| 37 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and area $A = 36\, \text{cm}$. | 22 |
| 38 | Find the side $ a $ of a rhombus if side $a = 12.5\, \text{in}$ and area $A = 50\, \text{cm}$. | 19 |
| 39 | Find the area $ A $ of a rhombus if diagonal $d_1 = 20$ and diagonal $d_2 = 7$. | 18 |
| 40 | Find the side $ a $ of a rhombus if diagonal $d_1 = 22\, \text{cm}$ and angle $\alpha = 22^o$. | 17 |
| 41 | Find the area $ A $ of a rhombus if diagonal $d_1 = \frac{ 4 }{ 5 }$ and diagonal $d_2 = \frac{ 5 }{ 2 }$. | 17 |
| 42 | Find the side $ a $ of a rhombus if ???. | 17 |
| 43 | Find the side $ a $ of a rhombus if angle $\alpha = 40^o$. | 16 |
| 44 | Find the side $ a $ of a rhombus if diagonal $d_1 = 4\, \text{cm}$. | 15 |
| 45 | Find the side $ a $ of a rhombus if side $a = 12$ and height $h = 5$. | 15 |
| 46 | Find the side $ a $ of a rhombus if side $a = 12\, \text{km}$ and angle $\beta = 30^o$. | 14 |
| 47 | Find the side $ a $ of a rhombus if side $a = 7 \sqrt{ 2 }\, \text{dm}$ and angle $\beta = 45^o$. | 14 |
| 48 | Find the side $ a $ of a rhombus if diagonal $d_1 = 8\, \text{mm}$ and diagonal $d_2 = 6\, \text{mm}$. | 14 |
| 49 | Find the area $ A $ of a rhombus if side $a = 5$ and diagonal $d_1 = 6$. | 14 |
| 50 | Find the diagonal $ d_2 $ of a rhombus if side $a = 7.1661$ and angle $\beta = 134^o$. | 13 |
