Rhombus
(the database of solved problems)
All the problems and solutions shown below were generated using the Rhombus Calculator.
| ID |
Problem |
Count |
| 1901 | Find the diagonal $ d_1 $ of a rhombus if side $a = 6\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 1902 | Find the diagonal $ d_1 $ of a rhombus if side $a = 6\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 1903 | 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 |
| 1904 | Find the side $ a $ of a rhombus if side $a = 5.25\, \text{in}$ and angle $\alpha = 20^o$. | 1 |
| 1905 | Find the side $ a $ of a rhombus if diagonal $d_1 = 15\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1906 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 20\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1907 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 18\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1908 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 19\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1909 | Find the height $ h $ of a rhombus if side $a = 6\, \text{cm}$ and angle $\alpha = 135^o$. | 1 |
| 1910 | 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 |
| 1911 | Find the height $ h $ of a rhombus if diagonal $d_1 = 16\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 1 |
| 1912 | 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 |
| 1913 | 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 |
| 1914 | 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 |
| 1915 | 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 |
| 1916 | Find the side $ a $ of a rhombus if diagonal $d_1 = 8\, \text{cm}$ and diagonal $d_2 = 8 \sqrt{ 3 }\, \text{cm}$. | 1 |
| 1917 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 28\, \text{in}$ and diagonal $d_2 = 18\, \text{in}$. | 1 |
| 1918 | 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 |
| 1919 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{ft}$ and diagonal $d_2 = 20\, \text{ft}$. | 1 |
| 1920 | 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 |
| 1921 | 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 |
| 1922 | 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 |
| 1923 | Find the side $ a $ of a rhombus if side $a = 975\, \text{mm}$ and perimeter $P = 2815\, \text{mm}$. | 1 |
| 1924 | Find the height $ h $ of a rhombus if side $a = 975\, \text{mm}$ and perimeter $P = 2815\, \text{mm}$. | 1 |
| 1925 | Find the side $ a $ of a rhombus if angle $\beta = 42^o$. | 1 |
| 1926 | Find the angle $ \alpha $ of a rhombus if angle $\beta = 42^o$. | 1 |
| 1927 | Find the diagonal $ d_1 $ of a rhombus if side $a = 34\, \text{mm}$ and diagonal $d_2 = 38\, \text{mm}$. | 1 |
| 1928 | 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 |
| 1929 | 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 |
| 1930 | Find the angle $ \alpha $ of a rhombus if ???. | 1 |
| 1931 | Find the side $ a $ of a rhombus if incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 1932 | Find the side $ a $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 1933 | Find the area $ A $ of a rhombus if incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 1934 | Find the area $ A $ of a rhombus if diagonal $d_1 = 30\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 1935 | 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 |
| 1936 | Find the area $ A $ of a rhombus if diagonal $d_2 = 5\, \text{mm}$ and incircle radius $r = 5 \sqrt{ 3 }\, \text{mm}$. | 1 |
| 1937 | Find the area $ A $ of a rhombus if diagonal $d_1 = 5\, \text{mm}$ and diagonal $d_2 = 5\, \text{mm}$. | 1 |
| 1938 | Find the diagonal $ d_2 $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 1939 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and diagonal $d_2 = 18\, \text{in}$. | 1 |
| 1940 | Find the angle $ \beta $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and angle $\alpha = 95^o$. | 1 |
| 1941 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 24\, \text{in}$ and diagonal $d_2 = 24\, \text{in}$. | 1 |
| 1942 | Find the angle $ \alpha $ of a rhombus if diagonal $d_1 = 26\, \text{in}$ and diagonal $d_2 = 23\, \text{in}$. | 1 |
| 1943 | Find the angle $ \alpha $ of a rhombus if area $A = 4\, \text{mm}^2$ and perimeter $P = 4\, \text{mm}$. | 1 |
| 1944 | Find the angle $ \alpha $ of a rhombus if area $A = 5\, \text{mm}^2$ and perimeter $P = 4\, \text{mm}$. | 1 |
| 1945 | Find the angle $ \alpha $ of a rhombus if area $A = 5\, \text{mm}^2$ and perimeter $P = 20\, \text{mm}$. | 1 |
| 1946 | Find the side $ a $ of a rhombus if diagonal $d_1 = 36\, \text{cm}$ and diagonal $d_2 = 24\, \text{cm}$. | 1 |
| 1947 | Find the side $ a $ of a rhombus if diagonal $d_1 = 18\, \text{cm}$ and diagonal $d_2 = 12\, \text{cm}$. | 1 |
| 1948 | 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 |
| 1949 | Find the diagonal $ d_1 $ of a rhombus if side $a = 26\, \text{cm}$ and diagonal $d_1 = 48\, \text{cm}$. | 1 |
| 1950 | 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 |
