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 side $ a $ of a rhombus if side $a = 2\, \text{in}$ and angle $\alpha = 26^o$. | 1 |
| 1952 | Find the angle $ \beta $ of a rhombus if side $a = 2\, \text{in}$ and angle $\alpha = 26^o$. | 1 |
| 1953 | Find the area $ A $ of a rhombus if side $a = 10\, \text{in}$ and height $h = 14\, \text{in}$. | 1 |
| 1954 | Find the perimeter $ P $ of a rhombus if diagonal $d_1 = 96\, \text{mm}$ and diagonal $d_2 = 28\, \text{mm}$. | 1 |
| 1955 | Find the side $ a $ of a rhombus if side $a = 14\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 1956 | Find the diagonal $ d_1 $ of a rhombus if side $a = 14\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 1957 | Find the side $ a $ of a rhombus if area $A = 324\, \text{mm}^2$ and angle $\alpha = 65^o$. | 1 |
| 1958 | Find the perimeter $ P $ of a rhombus if diagonal $d_1 = 16\, \text{mm}$ and diagonal $d_2 = 12\, \text{mm}$. | 1 |
| 1959 | Find the diagonal $ d_1 $ of a rhombus if side $a = 9\, \text{cm}$, angle $\alpha = 100^o$ and angle $\beta = 80^o$. | 1 |
| 1960 | Find the diagonal $ d_1 $ of a rhombus if side $a = 9\, \text{cm}$ and angle $\alpha = 100^o$. | 1 |
| 1961 | Find the diagonal $ d_1 $ of a rhombus if side $a = 9\, \text{cm}$ and angle $\alpha = 80^o$. | 1 |
| 1962 | Find the angle $ \beta $ of a rhombus if side $a = 24\, \text{mm}$ and diagonal $d_1 = 36\, \text{mm}$. | 1 |
| 1963 | Find the angle $ \beta $ of a rhombus if side $a = 24\, \text{mm}$, perimeter $P = 96\, \text{mm}$ and diagonal $d_1 = 36\, \text{mm}$. | 1 |
| 1964 | Find the side $ a $ of a rhombus if diagonal $d_1 = 6\, \text{ft}$ and diagonal $d_2 = 15\, \text{ft}$. | 1 |
| 1965 | Find the area $ A $ of a rhombus if diagonal $d_1 = 6\, \text{ft}$ and diagonal $d_2 = 15\, \text{ft}$. | 1 |
| 1966 | Find the side $ a $ of a rhombus if side $a = \frac{ 67 }{ 8 }\, \text{mi}$ and angle $\alpha = 55^o$. | 1 |
| 1967 | Find the side $ a $ of a rhombus if side $a = 1145\, \text{mm}$ and height $h = 640\, \text{mm}$. | 1 |
| 1968 | Find the angle $ \beta $ of a rhombus if side $a = 1145\, \text{mm}$ and height $h = 640\, \text{mm}$. | 1 |
| 1969 | Find the side $ a $ of a rhombus if side $a = 6\, \text{mm}$. | 1 |
| 1970 | Find the diagonal $ d_2 $ of a rhombus if side $a = 6\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 1971 | Find the diagonal $ d_1 $ of a rhombus if side $a = 6\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 1972 | Find the diagonal $ d_1 $ of a rhombus if side $a = 6\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 1973 | Find the side $ a $ of a rhombus if side $a = 5.25\, \text{mm}$, height $h = 1.5\, \text{in}$, angle $\alpha = 20^o$ and angle $\beta = 153^o$. | 1 |
| 1974 | Find the side $ a $ of a rhombus if side $a = 5.25\, \text{in}$ and angle $\alpha = 20^o$. | 1 |
| 1975 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1976 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 20\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1977 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 18\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1978 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 19\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1979 | Find the height $ h $ of a rhombus if side $a = 6\, \text{cm}$ and angle $\alpha = 135^o$. | 1 |
| 1980 | Find the height $ h $ of a rhombus if area $A = 96\, \text{cm}^2$, diagonal $d_1 = 12\, \text{cm}$ and diagonal $d_2 = 16\, \text{cm}$. | 1 |
| 1981 | Find the height $ h $ of a rhombus if diagonal $d_1 = 16\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 1 |
| 1982 | Find the diagonal $ d_1 $ of a rhombus if side $a = 2.2361\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 1983 | Find the side $ a $ of a rhombus if side $a = 5.9\, \text{m}$, diagonal $d_1 = 5.8\, \text{m}$, diagonal $d_2 = 6.7\, \text{m}$, height $h = 3.15\, \text{m}$ and angle $\alpha = 90^o$. | 1 |
| 1984 | Find the angle $ \beta $ of a rhombus if side $a = 5.9\, \text{m}$, diagonal $d_1 = 5.8\, \text{m}$, diagonal $d_2 = 6.7\, \text{m}$, height $h = 3.15\, \text{m}$ and angle $\alpha = 90^o$. | 1 |
| 1985 | Find the angle $ \beta $ of a rhombus if side $a = 5900\, \text{mm}$, diagonal $d_1 = 5780\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 1986 | Find the side $ a $ of a rhombus if diagonal $d_1 = 8\, \text{cm}$ and diagonal $d_2 = 8 \sqrt{ 3 }\, \text{cm}$. | 1 |
| 1987 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 28\, \text{in}$ and diagonal $d_2 = 18\, \text{in}$. | 1 |
| 1988 | Find the angle $ \beta $ of a rhombus if area $A = 252\, \text{in}^2$, diagonal $d_1 = 28\, \text{in}$ and diagonal $d_2 = 18\, \text{in}$. | 1 |
| 1989 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{ft}$ and diagonal $d_2 = 20\, \text{ft}$. | 1 |
| 1990 | Find the side $ a $ of a rhombus if side $a = 4\, \text{mm}$, diagonal $d_1 = 8 \sqrt{ 3 }\, \text{mm}$, diagonal $d_2 = 4\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 1991 | Find the side $ a $ of a rhombus if height $h = 32.125\, \text{in}$, angle $\alpha = 127.4^o$ and angle $\beta = 53.3^o$. | 1 |
| 1992 | Find the side $ a $ of a rhombus if side $a = 28.125\, \text{in}$, height $h = 32.125\, \text{in}$, angle $\alpha = 127.4^o$ and angle $\beta = 53.3^o$. | 1 |
| 1993 | Find the side $ a $ of a rhombus if side $a = 975\, \text{mm}$ and perimeter $P = 2815\, \text{mm}$. | 1 |
| 1994 | Find the height $ h $ of a rhombus if side $a = 975\, \text{mm}$ and perimeter $P = 2815\, \text{mm}$. | 1 |
| 1995 | Find the side $ a $ of a rhombus if angle $\beta = 42^o$. | 1 |
| 1996 | Find the diagonal $ d_1 $ of a rhombus if side $a = 34\, \text{mm}$ and diagonal $d_2 = 38\, \text{mm}$. | 1 |
| 1997 | Find the height $ h $ of a rhombus if side $a = 25\, \text{mm}$, diagonal $d_1 = 30\, \text{mm}$ and diagonal $d_2 = 40\, \text{mm}$. | 1 |
| 1998 | Find the height $ h $ of a rhombus if side $a = 25\, \text{mm}$, diagonal $d_1 = 30\, \text{mm}$, diagonal $d_2 = 40\, \text{mm}$ and incircle radius $r = 12.5\, \text{mm}$. | 1 |
| 1999 | Find the angle $ \alpha $ of a rhombus if ???. | 1 |
| 2000 | Find the side $ a $ of a rhombus if incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |