Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1901 | Find the angle $ \alpha $ of a trapezoid if long base $a = 20.5\, \text{in}$, short base $b = 19.25\, \text{in}$ and height $h = 9\, \text{in}$. | 3 |
| 1902 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 30^o$. | 3 |
| 1903 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 30^o$. | 3 |
| 1904 | Find the side $ c $ of a trapezoid if long base $a = 38.2679\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 30^o$. | 3 |
| 1905 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 3\, \text{mm}$. | 3 |
| 1906 | Find the long base $ a $ of a trapezoid if long base $a = 6.4375\, \text{in}$, short base $b = 5.8125\, \text{in}$, side $c = 1.288\, \text{in}$ and height $h = 2.5\, \text{in}$. | 3 |
| 1907 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 80\, \text{in}$. | 3 |
| 1908 | Find the long base $ a $ of a trapezoid if long base $a = 3076\, \text{mm}$, short base $b = 2712\, \text{mm}$ and side $c = 1300\, \text{mm}$. | 3 |
| 1909 | Find the angle $ \alpha $ of a trapezoid if long base $a = 3076\, \text{mm}$, short base $b = 2712\, \text{mm}$ and side $c = 1300\, \text{mm}$. | 3 |
| 1910 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7.89\, \text{mm}$, short base $b = 2.68\, \text{mm}$ and height $h = 11.6\, \text{mm}$. | 3 |
| 1911 | Find the short base $ b $ of a trapezoid if long base $a = 7.5\, \text{ft}$, side $c = 1.5\, \text{ft}$ and angle $\beta = 45^o$. | 3 |
| 1912 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 32\, \text{mm}$. | 3 |
| 1913 | Find the long base $ a $ of a trapezoid if long base $a = 4.17\, \text{mm}$, short base $b = 5.1\, \text{mm}$, side $c = 1.2\, \text{mm}$, diagonal $d = 1.2\, \text{mm}$ and height $h = 1.2\, \text{mm}$. | 3 |
| 1914 | Find the long base $ a $ of a trapezoid if long base $a = 4.17\, \text{mm}$, short base $b = 5.1\, \text{mm}$, side $c = 1.2\, \text{mm}$ and height $h = 1.2\, \text{mm}$. | 3 |
| 1915 | Find the long base $ a $ of a trapezoid if long base $a = 55.75\, \text{in}$, side $c = 28\, \text{in}$ and angle $\alpha = 9.5^o$. | 3 |
| 1916 | Find the height $ h $ of a trapezoid if side $c = 40\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 30^o$. | 3 |
| 1917 | Find the long base $ a $ of a trapezoid if short base $b = 500\, \text{mm}$, height $h = 2.1\, \text{m}$ and angle $\alpha = 39^o$. | 3 |
| 1918 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{ft}$, height $h = 8\, \text{ft}$ and angle $\beta = 135^o$. | 3 |
| 1919 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{in}$, side $c = 4\, \text{in}$ and height $h = 3\, \text{in}$. | 3 |
| 1920 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 3\, \text{mm}$ and angle $\beta = 60^o$. | 3 |
| 1921 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 3\, \text{mm}$. | 3 |
| 1922 | Find the long base $ a $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 3 |
| 1923 | Find the short base $ b $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 3 |
| 1924 | Find the short base $ b $ of a trapezoid if long base $a = 32\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1925 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$, side $c = 37.9\, \text{mm}$ and diagonal $d = 37.9\, \text{mm}$. | 3 |
| 1926 | Find the area $ A $ of a trapezoid if short base $b = 24\, \text{ft}$, height $h = 11.1\, \text{ft}$ and angle $\beta = 153.435^o$. | 3 |
| 1927 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$ and height $h = 9\, \text{mm}$. | 3 |
| 1928 | Find the long base $ a $ of a trapezoid if long base $a = 4930\, \text{mm}$, height $h = 600\, \text{mm}$ and angle $\alpha = 15^o$. | 3 |
| 1929 | Find the short base $ b $ of a trapezoid if long base $a = 4930\, \text{mm}$, height $h = 600\, \text{mm}$ and angle $\alpha = 15^o$. | 3 |
| 1930 | Find the side $ c $ of a trapezoid if long base $a = 4930\, \text{mm}$, height $h = 600\, \text{mm}$ and angle $\alpha = 15^o$. | 3 |
| 1931 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2.5\, \text{in}$ and height $h = 2\, \text{in}$. | 3 |
| 1932 | Find the area $ A $ of a trapezoid if long base $a = 6.3\, \text{m}$, short base $b = 3.87\, \text{m}$ and side $c = 6.26\, \text{m}$. | 3 |
| 1933 | Find the height $ h $ of a trapezoid if long base $a = 19.75\, \text{in}$, short base $b = 7\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1934 | Find the long base $ a $ of a trapezoid if short base $b = 0.84\, \text{mm}$, height $h = 1\, \text{mm}$ and angle $\alpha = 77^o$. | 3 |
| 1935 | Find the long base $ a $ of a trapezoid if short base $b = 1.01\, \text{mm}$, height $h = 0.95\, \text{mm}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 3 |
| 1936 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 77\, \text{in}$ and height $h = 96\, \text{in}$. | 3 |
| 1937 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{ft}$, side $c = 6\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1938 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{cm}$ and short base $b = 5\, \text{cm}$. | 3 |
| 1939 | Find the long base $ a $ of a trapezoid if long base $a = 39\, \text{mm}$, short base $b = 49\, \text{mm}$, side $c = 89\, \text{mm}$ and diagonal $d = 115\, \text{mm}$. | 3 |
| 1940 | Find the long base $ a $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 25.5\, \text{in}$. | 3 |
| 1941 | Find the side $ c $ of a trapezoid if long base $a = 1840\, \text{mm}$, short base $b = 580\, \text{mm}$ and height $h = 450\, \text{mm}$. | 3 |
| 1942 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 34\, \text{in}$, median $m = 24\, \text{in}$ and angle $\alpha = 90^o$. | 3 |
| 1943 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$. | 3 |
| 1944 | Find the angle $ \beta $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 4.375\, \text{in}$. | 3 |
| 1945 | Find the area $ A $ of a trapezoid if ???. | 3 |
| 1946 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 12\, \text{mm}$. | 3 |
| 1947 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 16\, \text{mm}$ and height $h = 12\, \text{mm}$. | 3 |
| 1948 | Find the long base $ a $ of a trapezoid if short base $b = 1.5\, \text{mm}$, height $h = 0.75\, \text{mm}$ and angle $\alpha = 45^o$. | 3 |
| 1949 | Find the median $ m $ of a trapezoid if long base $a = 17.92\, \text{mm}$ and short base $b = 7.02\, \text{mm}$. | 3 |
| 1950 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1.7321\, \text{mm}$ and side $c = 0.866\, \text{mm}$. | 3 |
