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 area $ A $ of a rhombus if side $a = 8$ and diagonal $d_2 = 17$. | 1 |
| 1952 | Find the angle $ \alpha $ of a rhombus if side $a = 600$ and height $h = 2400$. | 1 |
| 1953 | Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 12$ and angle $\alpha = 30^o$. | 1 |
| 1954 | Find the height $ h $ of a rhombus if side $a = \frac{ 123 }{ 10 }$ and area $A = \frac{ 1107 }{ 10 }$. | 1 |
| 1955 | Find the side $ a $ of a rhombus if area $A = 84$, diagonal $d_1 = 14$ and diagonal $d_2 = 12$. | 1 |
| 1956 | Find the perimeter $ P $ of a rhombus if area $A = 84$, diagonal $d_1 = 14$ and diagonal $d_2 = 12$. | 1 |
| 1957 | Find the perimeter $ P $ of a rhombus if area $A = 84$ and diagonal $d_1 = 14$. | 1 |
| 1958 | Find the area $ A $ of a rhombus if diagonal $d_1 = 30$, angle $\alpha = 30^o$ and angle $\beta = 60^o$. | 1 |
| 1959 | Find the side $ a $ of a rhombus if side $a = \frac{ 18 }{ 5 }$. | 1 |
| 1960 | Find the area $ A $ of a rhombus if side $a = \frac{ 18 }{ 5 }$ and height $h = \frac{ 18 }{ 5 }$. | 1 |
| 1961 | Find the area $ A $ of a rhombus if diagonal $d_1 = 12$ and diagonal $d_2 = 5$. | 1 |
| 1962 | Find the side $ a $ of a rhombus if side $a = 100$ and angle $\alpha = 70^o$. | 1 |
| 1963 | Find the side $ a $ of a rhombus if side $a = 16$, area $A = 214$ and perimeter $P = 64$. | 1 |
| 1964 | Find the angle $ \alpha $ of a rhombus if side $a = 16$, area $A = 214$, perimeter $P = 64$ and diagonal $d_2 = 22.6274$. | 1 |
| 1965 | Find the angle $ \alpha $ of a rhombus if side $a = 16$, area $A = 214$, perimeter $P = 64$, diagonal $d_1 = 22.6274$ and diagonal $d_2 = 22.6274$. | 1 |
| 1966 | Find the diagonal $ d_2 $ of a rhombus if side $a = 8$ and height $h = \frac{ 693 }{ 100 }$. | 1 |
| 1967 | Find the side $ a $ of a rhombus if side $a = 90$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 1968 | Find the diagonal $ d_1 $ of a rhombus if side $a = 8$ and height $h = \frac{ 693 }{ 100 }$. | 1 |
| 1969 | Find the diagonal $ d_1 $ of a rhombus if side $a = 90$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 1970 | Find the diagonal $ d_1 $ of a rhombus if side $a = 90$, diagonal $d_2 = 90$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 1971 | Find the height $ h $ of a rhombus if side $a = 90$, diagonal $d_2 = 90$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 1972 | Find the side $ a $ of a rhombus if side $a = 30$ and height $h = 25$. | 1 |
| 1973 | Find the side $ a $ of a rhombus if side $a = 4$ and perimeter $P = 12$. | 1 |
| 1974 | Find the angle $ \alpha $ of a rhombus if side $a = 14$ and angle $\beta = 49^o$. | 1 |
| 1975 | Find the side $ a $ of a rhombus if diagonal $d_1 = 36$ and diagonal $d_2 = 12$. | 1 |
| 1976 | Find the height $ h $ of a rhombus if side $a = 19$, diagonal $d_1 = 36$ and diagonal $d_2 = 12$. | 1 |
| 1977 | Find the height $ h $ of a rhombus if side $a = 19$ and area $A = 216$. | 1 |
| 1978 | Find the area $ A $ of a rhombus if side $a = \frac{ 13463 }{ 2500 }$. | 1 |
| 1979 | Find the diagonal $ d_1 $ of a rhombus if side $a = 90$ and perimeter $P = 360$. | 1 |
| 1980 | Find the side $ a $ of a rhombus if height $h = 4$ and angle $\alpha = 145^o$. | 1 |
| 1981 | Find the diagonal $ d_2 $ of a rhombus if height $h = 4$ and angle $\alpha = 145^o$. | 1 |
| 1982 | Find the side $ a $ of a rhombus if side $a = 61$. | 1 |
| 1983 | Find the side $ a $ of a rhombus if angle $\alpha = 61^o$. | 1 |
| 1984 | Find the height $ h $ of a rhombus if side $a = \frac{ 19 }{ 2 }$. | 1 |
| 1985 | Find the area $ A $ of a rhombus if side $a = 11$, perimeter $P = 40$ and height $h = 8$. | 1 |
| 1986 | Find the side $ a $ of a rhombus if side $a = 18$ and angle $\alpha = 57^o$. | 1 |
| 1987 | Find the area $ A $ of a rhombus if side $a = \frac{ 6453 }{ 250 }$ and height $h = \frac{ 679 }{ 50 }$. | 1 |
| 1988 | Find the area $ A $ of a rhombus if side $a = \frac{ 6453 }{ 250 }$, height $h = \frac{ 679 }{ 50 }$ and incircle radius $r = \frac{ 669 }{ 100 }$. | 1 |
| 1989 | Find the area $ A $ of a rhombus if side $a = \frac{ 229 }{ 100 }$ and height $h = \frac{ 3 }{ 2 }$. | 1 |
| 1990 | Find the diagonal $ d_2 $ of a rhombus if side $a = 10$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 1 |
| 1991 | Find the side $ a $ of a rhombus if side $a = 400$ and height $h = 600$. | 1 |
| 1992 | Find the side $ a $ of a rhombus if side $a = 400$, height $h = 600$ and angle $\alpha = 45^o$. | 1 |
| 1993 | Find the side $ a $ of a rhombus if diagonal $d_1 = 2$ and angle $\alpha = 60^o$. | 1 |
| 1994 | Find the side $ a $ of a rhombus if side $a = \frac{ 733 }{ 100 }$ and height $h = \frac{ 337 }{ 100 }$. | 1 |
| 1995 | Find the side $ a $ of a rhombus if ???. | 1 |
| 1996 | Find the side $ a $ of a rhombus if side $a = 10$ and angle $\alpha = 60^o$. | 1 |
| 1997 | Find the diagonal $ d_2 $ of a rhombus if side $a = 10$ and diagonal $d_2 = 10 \sqrt{ 3 }$. | 1 |
| 1998 | Find the diagonal $ d_2 $ of a rhombus if side $a = 10$ and diagonal $d_1 = 10 \sqrt{ 3 }$. | 1 |
| 1999 | Find the angle $ \alpha $ of a rhombus if side $a = 6$ and angle $\alpha = 45^o$. | 1 |
| 2000 | Find the angle $ \alpha $ of a rhombus if side $a = 6$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
