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 $\beta = 145^o$. | 131 |
2 | Find the side $ a $ of a rhombus if side $a = 12\, \text{yd}$ and diagonal $d_1 = 18\, \text{cm}$. | 96 |
3 | Find the side $ a $ of a rhombus if ???. | 94 |
4 | Find the side $ a $ of a rhombus if diagonal $d_1 = 4\, \text{cm}$ and diagonal $d_2 = 2.8\, \text{cm}$. | 58 |
5 | Find the side $ a $ of a rhombus if angle $\alpha = 67.38^o$ and angle $\beta = 112.62^o$. | 39 |
6 | Find the side $ a $ of a rhombus if area $A = 96\, \text{cm}$, diagonal $d_1 = 16\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 29 |
7 | Find the side $ a $ of a rhombus if area $A = 28\, \text{cm}$ and diagonal $d_2 = 8\, \text{cm}$. | 28 |
8 | Find the side $ a $ of a rhombus if diagonal $d_2 = 59\, \text{cm}$ and angle $\beta = 59^o$. | 22 |
9 | Find the side $ a $ of a rhombus if diagonal $d_2 = 62\, \text{cm}$. | 21 |
10 | Find the side $ a $ of a rhombus if area $A = 192\, \text{cm}$ and angle $\alpha = 67.38^o$. | 20 |
11 | Find the area $ A $ of a rhombus if diagonal $d_1 = 20$ and diagonal $d_2 = 7$. | 18 |
12 | Find the side $ a $ of a rhombus if diagonal $d_1 = 9\, \text{cm}$ and diagonal $d_2 = 5\, \text{cm}$. | 18 |
13 | Find the side $ a $ of a rhombus if side $a = 2.29\, \text{cm}$ and height $h = 1.5\, \text{cm}$. | 17 |
14 | Find the side $ a $ of a rhombus if diagonal $d_1 = 20\, \text{cm}$ and diagonal $d_2 = 7\, \text{cm}$. | 17 |
15 | Find the side $ a $ of a rhombus if side $a = 13\, \text{cm}$. | 17 |
16 | Find the area $ A $ of a rhombus if diagonal $d_1 = \frac{ 4 }{ 5 }$ and diagonal $d_2 = \frac{ 5 }{ 2 }$. | 17 |
17 | Find the side $ a $ of a rhombus if side $a = 10\, \text{cm}$ and diagonal $d_2 = 4\, \text{cm}$. | 17 |
18 | Find the side $ a $ of a rhombus if side $a = 12\, \text{cm}$ and angle $\alpha = 30^o$. | 16 |
19 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_1 = 10\, \text{cm}$. | 16 |
20 | Find the side $ a $ of a rhombus if ???. | 16 |
21 | Find the side $ a $ of a rhombus if side $a = 12$ and height $h = 5$. | 15 |
22 | Find the side $ a $ of a rhombus if area $A = 192\, \text{cm}$, angle $\alpha = 67.38^o$ and angle $\beta = 112.62^o$. | 15 |
23 | Find the side $ a $ of a rhombus if area $A = 7 \sqrt{ 2 }\, \text{cm}$ and angle $\beta = 45^o$. | 15 |
24 | Find the area $ A $ of a rhombus if side $a = 5$ and diagonal $d_1 = 6$. | 14 |
25 | Find the side $ a $ of a rhombus if side $a = 10\, \text{cm}$ and perimeter $P = 40\, \text{cm}$. | 14 |
26 | Find the side $ a $ of a rhombus if area $A = 192$, angle $\alpha = \frac{ 3369 }{ 50 }^o$ and angle $\beta = \frac{ 5631 }{ 50 }^o$. | 13 |
27 | Find the diagonal $ d_2 $ of a rhombus if side $a = 7.1661$ and angle $\beta = 134^o$. | 13 |
28 | Find the area $ A $ of a rhombus if side $a = \frac{ 229 }{ 100 }$ and height $h = \frac{ 3 }{ 2 }$. | 13 |
29 | Find the side $ a $ of a rhombus if perimeter $P = 64\, \text{cm}$ and diagonal $d_2 = 8 \sqrt{ 5 }\, \text{cm}$. | 13 |
30 | Find the side $ a $ of a rhombus if perimeter $P = 96$ and diagonal $d_1 = 28$. | 12 |
31 | Find the side $ a $ of a rhombus if side $a = 12.5\, \text{in}$ and area $A = 50\, \text{cm}$. | 12 |
32 | Find the side $ a $ of a rhombus if ???. | 12 |
33 | Find the angle $ \alpha $ of a rhombus if diagonal $d_2 = 59$ and angle $\beta = 59^o$. | 12 |
34 | Find the side $ a $ of a rhombus if diagonal $d_1 = 4\, \text{cm}$. | 12 |
35 | Find the area $ A $ of a rhombus if side $a = 2290$ and height $h = 1500$. | 10 |
36 | Find the side $ a $ of a rhombus if diagonal $d_1 = 10$, angle $\alpha = 60^o$ and angle $\beta = 30^o$. | 10 |
37 | Find the side $ a $ of a rhombus if side $a = 53$. | 10 |
38 | Find the side $ a $ of a rhombus if diagonal $d_1 = 0.8\, \text{cm}$ and diagonal $d_2 = 2.5\, \text{cm}$. | 9 |
39 | Find the angle $ \beta $ of a rhombus if angle $\alpha = 35^o$. | 9 |
40 | Find the side $ a $ of a rhombus if area $A = 480\, \text{cm}$ and incircle radius $r = 10\, \text{cm}$. | 9 |
41 | Find the side $ a $ of a rhombus if side $a = 200$ and angle $\alpha = 35^o$. | 9 |
42 | Find the side $ a $ of a rhombus if ???. | 9 |
43 | Find the diagonal $ d_1 $ of a rhombus if side $a = 7\, \text{mm}$ and diagonal $d_2 = 8\, \text{mm}$. | 9 |
44 | Find the side $ a $ of a rhombus if ???. | 9 |
45 | Find the side $ a $ of a rhombus if area $A = 96$, diagonal $d_1 = 16$ and diagonal $d_2 = 12$. | 9 |
46 | Find the side $ a $ of a rhombus if area $A = 7 \sqrt{ 2 }\, \text{cm}$ and angle $\beta = 5^o$. | 8 |
47 | Find the side $ a $ of a rhombus if side $a = 2114$ and angle $\beta = 123^o$. | 8 |
48 | Find the side $ a $ of a rhombus if diagonal $d_1 = 4$ and diagonal $d_2 = \frac{ 14 }{ 5 }$. | 8 |
49 | Find the side $ a $ of a rhombus if side $a = 13$. | 8 |
50 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 22$ and angle $\alpha = 22^o$. | 8 |