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 area $A = 46$, angle $\alpha = 41^o$ and angle $\beta = 149^o$. | 1 |
| 2002 | Find the side $ a $ of a rhombus if area $A = 46$, angle $\alpha = 41^o$ and angle $\beta = 19^o$. | 1 |
| 2003 | Find the area $ A $ of a rhombus if side $a = 8$ and area $A = 10$. | 1 |
| 2004 | Find the side $ a $ of a rhombus if side $a = 11$, diagonal $d_2 = 7$ and angle $\alpha = 37^o$. | 1 |
| 2005 | Find the side $ a $ of a rhombus if side $a = 8$, area $A = 8$, perimeter $P = 8$, diagonal $d_1 = 7$, diagonal $d_2 = 8$, height $h = 2$, incircle radius $r = 7$, angle $\alpha = 9^o$ and angle $\beta = 9^o$. | 1 |
| 2006 | Find the perimeter $ P $ of a rhombus if diagonal $d_1 = 24$ and diagonal $d_2 = 10$. | 1 |
| 2007 | Find the area $ A $ of a rhombus if diagonal $d_1 = 8$ and diagonal $d_2 = 8$. | 1 |
| 2008 | Find the area $ A $ of a rhombus if side $a = \frac{ 27 }{ 10 }$ and height $h = \frac{ 23 }{ 10 }$. | 1 |
| 2009 | Find the side $ a $ of a rhombus if area $A = 336$ and height $h = 16$. | 1 |
| 2010 | Find the side $ a $ of a rhombus if side $a = 350$, height $h = 900$ and angle $\beta = 38^o$. | 1 |
| 2011 | Find the area $ A $ of a rhombus if diagonal $d_1 = 8$ and diagonal $d_2 = 6$. | 1 |
| 2012 | Find the side $ a $ of a rhombus if side $a = 13$ and diagonal $d_1 = 12$. | 1 |
| 2013 | Find the area $ A $ of a rhombus if side $a = 13$, diagonal $d_1 = 12$ and diagonal $d_2 = 12$. | 1 |
| 2014 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 36$ and incircle radius $r = 18$. | 1 |
| 2015 | Find the area $ A $ of a rhombus if diagonal $d_1 = 1000$ and diagonal $d_2 = 600$. | 1 |
| 2016 | Find the height $ h $ of a rhombus if side $a = 13$, diagonal $d_1 = 24$ and diagonal $d_2 = 10$. | 1 |
| 2017 | Find the height $ h $ of a rhombus if side $a = 13$ and diagonal $d_1 = 24$. | 1 |
| 2018 | Find the area $ A $ of a rhombus if perimeter $P = 40$ and diagonal $d_2 = 16$. | 1 |
| 2019 | Find the side $ a $ of a rhombus if angle $\alpha = 65^o$. | 1 |
| 2020 | Find the side $ a $ of a rhombus if side $a = 1730$. | 1 |
| 2021 | Find the side $ a $ of a rhombus if perimeter $P = 24$ and height $h = 3$. | 1 |
| 2022 | Find the side $ a $ of a rhombus if diagonal $d_1 = \sqrt{ 306 }$ and diagonal $d_2 = \sqrt{ 34 }$. | 1 |
| 2023 | Find the area $ A $ of a rhombus if diagonal $d_1 = \sqrt{ 306 }$ and diagonal $d_2 = \sqrt{ 34 }$. | 1 |
| 2024 | Find the perimeter $ P $ of a rhombus if diagonal $d_2 = 40$. | 1 |
| 2025 | Find the perimeter $ P $ of a rhombus if diagonal $d_2 = 40$, angle $\alpha = 100^o$ and angle $\beta = 160^o$. | 1 |
| 2026 | Find the side $ a $ of a rhombus if side $a = 30$ and height $h = 17$. | 1 |
| 2027 | Find the side $ a $ of a rhombus if side $a = 14$, diagonal $d_1 = 18$ and diagonal $d_2 = 12$. | 1 |
| 2028 | Find the side $ a $ of a rhombus if side $a = 2 \sqrt{ 5 }$, area $A = 20$ and perimeter $P = 8 \sqrt{ 5 }$. | 1 |
| 2029 | Find the area $ A $ of a rhombus if ???. | 1 |
| 2030 | Find the side $ a $ of a rhombus if diagonal $d_1 = 12$ and diagonal $d_2 = 16$. | 1 |
| 2031 | Find the side $ a $ of a rhombus if side $a = 17$ and diagonal $d_2 = 30$. | 1 |
| 2032 | Find the perimeter $ P $ of a rhombus if diagonal $d_2 = 25$ and angle $\alpha = 60^o$. | 1 |
| 2033 | Find the perimeter $ P $ of a rhombus if diagonal $d_2 = 25$ and angle $\beta = 60^o$. | 1 |
| 2034 | Find the side $ a $ of a rhombus if angle $\alpha = 88^o$. | 1 |
| 2035 | Find the side $ a $ of a rhombus if angle $\alpha = 88^o$ and angle $\beta = 92^o$. | 1 |
| 2036 | Find the side $ a $ of a rhombus if side $a = 3$, area $A = 9$, height $h = 3$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 2037 | Find the area $ A $ of a rhombus if perimeter $P = 100$ and diagonal $d_1 = 48$. | 1 |
| 2038 | Find the height $ h $ of a rhombus if diagonal $d_1 = 60$. | 1 |
| 2039 | Find the height $ h $ of a rhombus if diagonal $d_1 = 60$ and angle $\beta = 60^o$. | 1 |
| 2040 | Find the height $ h $ of a rhombus if diagonal $d_1 = 84$ and angle $\beta = 60^o$. | 1 |
| 2041 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 60$ and angle $\alpha = 60^o$. | 1 |
| 2042 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_1 = 60$ and angle $\alpha = 60^o$. | 1 |
| 2043 | Find the height $ h $ of a rhombus if diagonal $d_1 = 60$ and angle $\alpha = 60^o$. | 1 |
| 2044 | Find the side $ a $ of a rhombus if angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 2045 | Find the side $ a $ of a rhombus if diagonal $d_1 = 10$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 2046 | Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 10$ and angle $\beta = 135^o$. | 1 |
| 2047 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_2 = 4$ and angle $\alpha = 45^o$. | 1 |
| 2048 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_2 = \frac{ 17 }{ 4 }$ and angle $\alpha = 45^o$. | 1 |
| 2049 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_2 = \frac{ 9 }{ 2 }$ and angle $\alpha = 45^o$. | 1 |
| 2050 | Find the diagonal $ d_1 $ of a rhombus if side $a = 6$ and angle $\alpha = 45^o$. | 1 |
