Rhombus
(the database of solved problems)
All the problems and solutions shown below were generated using the Rhombus Calculator.
| ID |
Problem |
Count |
| 1951 | Find the angle $ \alpha $ of a rhombus if side $a = 13\, \text{mm}$ and area $A = 84\, \text{mm}^2$. | 1 |
| 1952 | Find the perimeter $ P $ of a rhombus if side $a = 8\, \text{mm}$ and area $A = 266\, \text{mm}^2$. | 1 |
| 1953 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_1 = 124\, \text{mm}$ and angle $\beta = 70^o$. | 1 |
| 1954 | Find the diagonal $ d_1 $ of a rhombus if diagonal $d_2 = 124\, \text{mm}$ and angle $\alpha = 70^o$. | 1 |
| 1955 | Find the side $ a $ of a rhombus if side $a = 8\, \text{km}$ and diagonal $d_1 = 10\, \text{cm}$. | 1 |
| 1956 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 177.1\, \text{mm}$ and diagonal $d_2 = 124\, \text{mm}$. | 1 |
| 1957 | 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 |
| 1958 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 1959 | Find the height $ h $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 1960 | 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 |
| 1961 | Find the incircle radius $ r $ of a rhombus if diagonal $d_1 = 24\, \text{mm}$ and diagonal $d_2 = 18\, \text{mm}$. | 1 |
| 1962 | Find the diagonal $ d_1 $ of a rhombus if side $a = 10\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 1963 | Find the diagonal $ d_2 $ of a rhombus if area $A = 480\, \text{mm}^2$ and diagonal $d_1 = 48\, \text{mm}$. | 1 |
| 1964 | Find the diagonal $ d_1 $ of a rhombus if area $A = 480\, \text{mm}^2$ and diagonal $d_2 = 48\, \text{mm}$. | 1 |
| 1965 | Find the diagonal $ d_2 $ of a rhombus if side $a = 15 \sqrt{ 3 }\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 1966 | 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 |
| 1967 | Find the area $ A $ of a rhombus if side $a = 5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 1968 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 4\, \text{cm}$. | 1 |
| 1969 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 5\, \text{cm}$. | 1 |
| 1970 | Find the area $ A $ of a rhombus if diagonal $d_1 = 15\, \text{cm}$ and diagonal $d_2 = 2\, \text{cm}$. | 1 |
| 1971 | Find the side $ a $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 4\, \text{mm}$. | 1 |
| 1972 | Find the area $ A $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 4\, \text{mm}$. | 1 |
| 1973 | Find the area $ A $ of a rhombus if side $a = 8\, \text{mm}$ and diagonal $d_2 = 2\, \text{mm}$. | 1 |
| 1974 | Find the side $ a $ of a rhombus if diagonal $d_2 = 40\, \text{in}$ and angle $\beta = 46^o$. | 1 |
| 1975 | Find the side $ a $ of a rhombus if diagonal $d_2 = 9\, \text{in}$ and angle $\beta = 77^o$. | 1 |
| 1976 | Find the angle $ \alpha $ of a rhombus if diagonal $d_2 = 9\, \text{in}$ and angle $\beta = 77^o$. | 1 |
| 1977 | Find the side $ a $ of a rhombus if diagonal $d_2 = 12\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 1978 | Find the side $ a $ of a rhombus if side $a = 195\, \text{mm}$ and height $h = 195\, \text{mm}$. | 1 |
| 1979 | 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 |
| 1980 | Find the side $ a $ of a rhombus if height $h = 40\, \text{ft}$ and angle $\alpha = 19^o$. | 1 |
| 1981 | Find the side $ a $ of a rhombus if side $a = 24\, \text{ft}$, height $h = 40\, \text{ft}$ and angle $\alpha = 19^o$. | 1 |
| 1982 | Find the side $ a $ of a rhombus if side $a = 20\, \text{mm}$ and angle $\alpha = 35^o$. | 1 |
| 1983 | Find the height $ h $ of a rhombus if diagonal $d_1 = 45\, \text{mm}$, diagonal $d_2 = 25\, \text{mm}$, angle $\alpha = 36^o$ and angle $\beta = 144^o$. | 1 |
| 1984 | Find the height $ h $ of a rhombus if diagonal $d_1 = 25\, \text{in}$ and diagonal $d_2 = 45\, \text{in}$. | 1 |
| 1985 | Find the side $ a $ of a rhombus if height $h = 7.25\, \text{mm}$ and angle $\alpha = 14.5^o$. | 1 |
| 1986 | Find the angle $ \beta $ of a rhombus if side $a = 9\, \text{mm}$ and angle $\alpha = 33^o$. | 1 |
| 1987 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 1988 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$ and angle $\beta = 120^o$. | 1 |
| 1989 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$. | 1 |
| 1990 | Find the height $ h $ of a rhombus if side $a = 5\, \text{mm}$, area $A = 48\, \text{mm}^2$ and perimeter $P = 20\, \text{mm}$. | 1 |
| 1991 | Find the area $ A $ of a rhombus if side $a = 5\, \text{mm}$ and perimeter $P = 20\, \text{mm}$. | 1 |
| 1992 | Find the area $ A $ of a rhombus if side $a = 5\, \text{mm}$ and height $h = \frac{ 48 }{ 5 }\, \text{mm}$. | 1 |
| 1993 | Find the area $ A $ of a rhombus if side $a = 10\, \text{mm}$. | 1 |
| 1994 | Find the side $ a $ of a rhombus if side $a = 200\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 1995 | Find the angle $ \alpha $ of a rhombus if side $a = 13\, \text{cm}$ and height $h = 6.5\, \text{cm}$. | 1 |
| 1996 | Find the side $ a $ of a rhombus if side $a = 25\, \text{mm}$ and diagonal $d_1 = 14\, \text{mm}$. | 1 |
| 1997 | Find the side $ a $ of a rhombus if side $a = 10\, \text{cm}$ and diagonal $d_2 = 10\, \text{cm}$. | 1 |
| 1998 | Find the side $ a $ of a rhombus if area $A = 480\, \text{mm}^2$ and diagonal $d_1 = 100\, \text{mm}$. | 1 |
| 1999 | Find the diagonal $ d_1 $ of a rhombus if side $a = 1\, \text{in}$, angle $\alpha = 36^o$ and angle $\beta = 144^o$. | 1 |
| 2000 | Find the diagonal $ d_1 $ of a rhombus if angle $\alpha = 36^o$ and angle $\beta = 144^o$. | 1 |
