Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1851 | Find the long base $ a $ of a trapezoid if short base $b = 25$, side $c = 15$ and height $h = 8$. | 3 |
| 1852 | Find the long base $ a $ of a trapezoid if long base $a = 32$, short base $b = 18$ and height $h = 12$. | 3 |
| 1853 | Find the long base $ a $ of a trapezoid if height $h = 125$, median $m = 1600$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 3 |
| 1854 | Find the of a trapezoid if long base $a = 22$, short base $b = 12$ and side $c = 10$. | 3 |
| 1855 | Find the of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1856 | Find the angle $ \beta $ of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1857 | Find the long base $ a $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1858 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 34 }{ 25 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
| 1859 | Find the long base $ a $ of a trapezoid if short base $b = 11$, side $c = 30$ and angle $\alpha = 80^o$. | 3 |
| 1860 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 40$ and height $h = 80$. | 3 |
| 1861 | Find the side $ c $ of a trapezoid if long base $a = 38$, short base $b = 24$ and height $h = 13$. | 3 |
| 1862 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$ and area $A = 150$. | 3 |
| 1863 | Find the long base $ a $ of a trapezoid if long base $a = 465\, \text{ft}$, short base $b = 135\, \text{cm}$ and side $c = 535\, \text{cm}$. | 3 |
| 1864 | Find the long base $ a $ of a trapezoid if long base $a = 799\, \text{mm}$, short base $b = 678\, \text{mm}$ and height $h = 688\, \text{mm}$. | 3 |
| 1865 | Find the angle $ \beta $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and height $h = 11.5\, \text{in}$. | 3 |
| 1866 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 9.5\, \text{mm}$. | 3 |
| 1867 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, height $h = 5\, \text{cm}$ and angle $\alpha = 60^o$. | 3 |
| 1868 | Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, side $c = 52\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 141.3402^o$. | 3 |
| 1869 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1870 | Find the height $ h $ of a trapezoid if long base $a = 4.1\, \text{m}$, short base $b = 2.9\, \text{m}$ and angle $\beta = 120^o$. | 3 |
| 1871 | Find the angle $ \alpha $ of a trapezoid if long base $a = 54\, \text{in}$, short base $b = 30\, \text{in}$ and side $c = 60\, \text{in}$. | 3 |
| 1872 | Find the side $ c $ of a trapezoid if long base $a = 35\, \text{ft}$, short base $b = 26\, \text{ft}$ and height $h = 12.3\, \text{ft}$. | 3 |
| 1873 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{in}$, side $c = 15\, \text{ft}$ and area $A = 156\, \text{in}^2$. | 3 |
| 1874 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 5\, \text{in}$ and side $c = 15\, \text{ft}$. | 3 |
| 1875 | Find the median $ m $ of a trapezoid if long base $a = 58.75\, \text{mm}$, short base $b = 44.46\, \text{mm}$ and height $h = 653\, \text{mm}$. | 3 |
| 1876 | Find the short base $ b $ of a trapezoid if long base $a = 15.5\, \text{in}$, height $h = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1877 | Find the long base $ a $ of a trapezoid if long base $a = 15.5\, \text{in}$, short base $b = 10\, \text{in}$, side $c = 6\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1878 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{cm}$, short base $b = 22.2\, \text{mm}$ and side $c = 52.2\, \text{cm}$. | 3 |
| 1879 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{mm}$, height $h = 14\, \text{mm}$ and angle $\alpha = 30^o$. | 3 |
| 1880 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 21\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1881 | Find the angle $ \beta $ of a trapezoid if long base $a = 68\, \text{in}$, short base $b = 26.5\, \text{in}$ and side $c = 41.5\, \text{in}$. | 3 |
| 1882 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$ and height $h = 15\, \text{in}$. | 3 |
| 1883 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{in}$ and height $h = 15\, \text{in}$. | 3 |
| 1884 | Find the side $ c $ of a trapezoid if ???. | 3 |
| 1885 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$, side $c = 6\, \text{in}$ and height $h = 5\, \text{in}$. | 3 |
| 1886 | Find the long base $ a $ of a trapezoid if long base $a = 56.25\, \text{in}$, short base $b = 30\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 30\, \text{in}$. | 3 |
| 1887 | Find the long base $ a $ of a trapezoid if long base $a = 101.18\, \text{mm}$, short base $b = 101.88\, \text{mm}$, side $c = 54.44\, \text{mm}$ and diagonal $d = 54.44\, \text{mm}$. | 3 |
| 1888 | Find the angle $ \beta $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 1\, \text{in}$ and side $c = 4.5\, \text{in}$. | 3 |
| 1889 | Find the median $ m $ of a trapezoid if long base $a = 53\, \text{mm}$, short base $b = 35.02\, \text{mm}$ and height $h = 644\, \text{mm}$. | 3 |
| 1890 | Find the long base $ a $ of a trapezoid if long base $a = 78\, \text{mm}$, side $c = 28\, \text{mm}$ and height $h = 24\, \text{mm}$. | 3 |
| 1891 | Find the side $ c $ of a trapezoid if long base $a = 215\, \text{mm}$, short base $b = 85\, \text{mm}$, median $m = 115\, \text{mm}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 3 |
| 1892 | Find the long base $ a $ of a trapezoid if long base $a = 67\, \text{in}$, short base $b = 36.5\, \text{in}$ and side $c = 23.5\, \text{in}$. | 3 |
| 1893 | Find the short base $ b $ of a trapezoid if long base $a = 2\, \text{ft}$, height $h = 14\, \text{in}$ and angle $\beta = 97^o$. | 3 |
| 1894 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{mm}$, height $h = 1058\, \text{mm}$ and angle $\alpha = 60^o$. | 3 |
| 1895 | Find the angle $ \alpha $ of a trapezoid if short base $b = 0.0729\, \text{mm}$, height $h = 1058\, \text{mm}$ and median $m = 0.0373\, \text{mm}$. | 3 |
| 1896 | Find the long base $ a $ of a trapezoid if height $h = 0.27\, \text{mm}$, median $m = 1\, \text{mm}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 3 |
| 1897 | Find the side $ c $ of a trapezoid if long base $a = 41\, \text{in}$, short base $b = 21\, \text{in}$ and height $h = 40\, \text{in}$. | 3 |
| 1898 | Find the long base $ a $ of a trapezoid if long base $a = 80\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1899 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 34\, \text{mm}$. | 3 |
| 1900 | Find the side $ c $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$, height $h = 16\, \text{in}$ and angle $\beta = 135^o$. | 3 |
