Rhombus
(the database of solved problems)
All the problems and solutions shown below were generated using the Rhombus Calculator.
| ID |
Problem |
Count |
| 2001 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 2002 | Find the area $ A $ of a rhombus if incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 2003 | Find the area $ A $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 2004 | Find the area $ A $ of a rhombus if diagonal $d_1 = 52.36\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 2005 | Find the area $ A $ of a rhombus if diagonal $d_2 = 5\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 2006 | Find the area $ A $ of a rhombus if diagonal $d_1 = 5\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 2007 | Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 2008 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and diagonal $d_2 = 18\, \text{in}$. | 1 |
| 2009 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and angle $\alpha = 95^o$. | 1 |
| 2010 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and diagonal $d_2 = 24\, \text{in}$. | 1 |
| 2011 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 26\, \text{in}$ and diagonal $d_2 = 23\, \text{in}$. | 1 |
| 2012 | Find the angle $ \alpha $ of a rhombus if area $A = 4\, \text{mm}^2$ and perimeter $P = 4\, \text{mm}$. | 1 |
| 2013 | Find the angle $ \alpha $ of a rhombus if area $A = 5\, \text{mm}^2$ and perimeter $P = 4\, \text{mm}$. | 1 |
| 2014 | Find the angle $ \alpha $ of a rhombus if area $A = 5\, \text{mm}^2$ and perimeter $P = 20\, \text{mm}$. | 1 |
| 2015 | Find the side $ a $ of a rhombus if diagonal $d_1 = 36\, \text{cm}$ and diagonal $d_2 = 24\, \text{cm}$. | 1 |
| 2016 | Find the side $ a $ of a rhombus if diagonal $d_1 = 18\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 1 |
| 2017 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15 \sqrt{ 3 }\, \text{cm}$ and diagonal $d_2 = 4 \sqrt{ 3 }\, \text{cm}$. | 1 |
| 2018 | Find the diagonal $ d_1 $ of a rhombus if side $a = 26\, \text{cm}$ and diagonal $d_1 = 48\, \text{cm}$. | 1 |
| 2019 | Find the side $ a $ of a rhombus if side $a = 10\, \text{mm}$, diagonal $d_2 = 10\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 2020 | Find the angle $ \alpha $ of a rhombus if side $a = 13\, \text{mm}$ and area $A = 84\, \text{mm}^2$. | 1 |
| 2021 | Find the perimeter $ P $ of a rhombus if side $a = 8\, \text{mm}$ and area $A = 266\, \text{mm}^2$. | 1 |
| 2022 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_1 = 124\, \text{mm}$ and angle $\beta = 70^o$. | 1 |
| 2023 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_2 = 124\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 2024 | Find the side $ a $ of a rhombus if side $a = 8\, \text{km}$ and diagonal $d_1 = 10\, \text{cm}$. | 1 |
| 2025 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 177.1\, \text{mm}$ and diagonal $d_2 = 124\, \text{mm}$. | 1 |
| 2026 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$, diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 2027 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 2028 | Find the height $ h $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 2029 | Find the height $ h $ of a rhombus if side $a = 8\, \text{mm}$, diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 2030 | Find the incircle radius $ r $ of a rhombus if diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 2031 | Find the diagonal $ d_2 $ of a rhombus if area $A = 480\, \text{mm}^2$ and diagonal $d_1 = 48\, \text{mm}$. | 1 |
| 2032 | Find the diagonal $ d_1 $ of a rhombus if area $A = 480\, \text{mm}^2$ and diagonal $d_2 = 48\, \text{mm}$. | 1 |
| 2033 | Find the diagonal $ d_2 $ of a rhombus if side $a = 15 \sqrt{ 3 }\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 2034 | Find the side $ a $ of a rhombus if side $a = 15 \sqrt{ 3 }\, \text{mm}$, angle $\alpha = 15^o$ and angle $\beta = 75^o$. | 1 |
| 2035 | Find the area $ A $ of a rhombus if side $a = 5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 2036 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 4\, \text{cm}$. | 1 |
| 2037 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 5\, \text{cm}$. | 1 |
| 2038 | Find the area $ A $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 2\, \text{cm}$. | 1 |
| 2039 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 4\, \text{mm}$. | 1 |
| 2040 | Find the area $ A $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 4\, \text{mm}$. | 1 |
| 2041 | Find the area $ A $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 2\, \text{mm}$. | 1 |
| 2042 | Find the side $ a $ of a rhombus if diagonal $d_2 = 40\, \text{in}$ and angle $\beta = 46^o$. | 1 |
| 2043 | Find the side $ a $ of a rhombus if diagonal $d_2 = 9\, \text{in}$ and angle $\beta = 77^o$. | 1 |
| 2044 | Find the angle $ \alpha $ of a rhombus if diagonal $d_2 = 9\, \text{in}$ and angle $\beta = 77^o$. | 1 |
| 2045 | Find the side $ a $ of a rhombus if diagonal $d_2 = 12\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 2046 | Find the side $ a $ of a rhombus if side $a = 195\, \text{mm}$ and height $h = 195\, \text{mm}$. | 1 |
| 2047 | Find the diagonal $ d_1 $ of a rhombus if side $a = 195\, \text{mm}$, diagonal $d_1 = 1850\, \text{mm}$ and height $h = 195\, \text{mm}$. | 1 |
| 2048 | Find the side $ a $ of a rhombus if height $h = 40\, \text{ft}$ and angle $\alpha = 19^o$. | 1 |
| 2049 | Find the side $ a $ of a rhombus if side $a = 24\, \text{ft}$, height $h = 40\, \text{ft}$ and angle $\alpha = 19^o$. | 1 |
| 2050 | Find the side $ a $ of a rhombus if side $a = 20\, \text{mm}$ and angle $\alpha = 35^o$. | 1 |
