Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5851 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 2\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5852 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 1.25\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5853 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 1\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5854 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 0.75\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5855 | Find the angle $ \alpha $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 0.125\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 5856 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 5857 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 5858 | Find the short base $ b $ of a trapezoid if height $h = 10\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 5859 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{mm}$. | 2 |
| 5860 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{mm}$. | 2 |
| 5861 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 10\, \text{in}$ and median $m = 2.5\, \text{in}$. | 2 |
| 5862 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$, height $h = 30\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 5863 | Find the long base $ a $ of a trapezoid if angle $\alpha = 45^o$. | 2 |
| 5864 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, height $h = 6\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 5865 | Find the short base $ b $ of a trapezoid if long base $a = 5.188\, \text{in}$ and angle $\beta = 22.5^o$. | 2 |
| 5866 | Find the long base $ a $ of a trapezoid if diagonal $d = 12\, \text{cm}$ and area $A = 216\, \text{cm}^2$. | 2 |
| 5867 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 7\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5868 | Find the long base $ a $ of a trapezoid if height $h = 7\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5869 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 5870 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 5871 | Find the long base $ a $ of a trapezoid if short base $b = 160\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 5872 | Find the diagonal $ d $ of a trapezoid if long base $a = 18\, \text{mm}$, side $c = 10\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5873 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.625\, \text{in}$, short base $b = 0.5\, \text{in}$ and height $h = 0.5\, \text{in}$. | 2 |
| 5874 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 76^o$. | 2 |
| 5875 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 88.5^o$. | 2 |
| 5876 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.5^o$. | 2 |
| 5877 | Find the side $ c $ of a trapezoid if long base $a = 1150\, \text{mm}$, short base $b = 675\, \text{mm}$ and height $h = 950\, \text{mm}$. | 2 |
| 5878 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 5879 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 5880 | Find the short base $ b $ of a trapezoid if side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 5881 | Find the long base $ a $ of a trapezoid if long base $a = 44.5\, \text{in}$, short base $b = 44.5\, \text{mm}$, side $c = 51\, \text{in}$, height $h = 51\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5882 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 5883 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$ and side $c = 0.121\, \text{in}$. | 2 |
| 5884 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 5\, \text{mi}$ and side $c = 8\, \text{mi}$. | 2 |
| 5885 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 3\, \text{mi}$, side $c = 7\, \text{mi}$ and height $h = 5\, \text{mi}$. | 2 |
| 5886 | Find the long base $ a $ of a trapezoid if short base $b = 650\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 5887 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$ and median $m = 6.5\, \text{mm}$. | 2 |
| 5888 | Find the long base $ a $ of a trapezoid if long base $a = 490\, \text{dm}$, short base $b = 100\, \text{cm}$ and angle $\beta = 73^o$. | 2 |
| 5889 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, short base $b = 10\, \text{cm}$ and side $c = 6\, \text{cm}$. | 2 |
| 5890 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5891 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5892 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 10.05\, \text{mm}$. | 2 |
| 5893 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 5894 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 5895 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, height $h = 14.9\, \text{mm}$, area $A = 161.665\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5896 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, height $h = 14.9\, \text{mm}$ and area $A = 161.665\, \text{mm}^2$. | 2 |
| 5897 | Find the long base $ a $ of a trapezoid if long base $a = 74.5\, \text{mm}$, short base $b = 82.5\, \text{mm}$, side $c = 82.5\, \text{mm}$ and diagonal $d = 82.5\, \text{mm}$. | 2 |
| 5898 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 3\, \text{m}$ and area $A = 24\, \text{mi}^2$. | 2 |
| 5899 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 5900 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
