Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 7851 | Find the area $ A $ of a trapezoid if long base $a = 190\, \text{mm}$, angle $\alpha = 65^o$ and angle $\beta = 110^o$. | 1 |
| 7852 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{cm}$, side $c = 6\, \text{cm}$ and area $A = 99\, \text{cm}^2$. | 1 |
| 7853 | Find the short base $ b $ of a trapezoid if long base $a = 50\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 7854 | Find the long base $ a $ of a trapezoid if long base $a = 2.8\, \text{m}$, short base $b = 6\, \text{m}$ and side $c = 3.8\, \text{m}$. | 1 |
| 7855 | Find the height $ h $ of a trapezoid if long base $a = 50\, \text{m}$, short base $b = 30\, \text{m}$ and side $c = 20\, \text{m}$. | 1 |
| 7856 | Find the side $ c $ of a trapezoid if long base $a = 28.3\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7857 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 7\, \text{in}$. | 1 |
| 7858 | Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 1 |
| 7859 | Find the angle $ \beta $ of a trapezoid if angle $\alpha = 81^o$. | 1 |
| 7860 | Find the median $ m $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 28\, \text{in}$. | 1 |
| 7861 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 15\, \text{mm}$ and angle $\alpha = 28^o$. | 1 |
| 7862 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, side $c = 16.97\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7863 | Find the long base $ a $ of a trapezoid if side $c = 750.8606\, \text{ft}$. | 1 |
| 7864 | Find the long base $ a $ of a trapezoid if long base $a = 551.27\, \text{mm}$, short base $b = 173.2546\, \text{mm}$ and side $c = 750.8606\, \text{ft}$. | 1 |
| 7865 | Find the median $ m $ of a trapezoid if long base $a = 551.27\, \text{mm}$, short base $b = 173.2546\, \text{mm}$ and side $c = 750.8606\, \text{ft}$. | 1 |
| 7866 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 50\, \text{mm}$. | 1 |
| 7867 | Find the side $ c $ of a trapezoid if long base $a = 74\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 36\, \text{in}$. | 1 |
| 7868 | Find the long base $ a $ of a trapezoid if long base $a = 2.662\, \text{in}$, short base $b = 2.465\, \text{in}$, angle $\alpha = 88^o$ and angle $\beta = 92^o$. | 1 |
| 7869 | Find the long base $ a $ of a trapezoid if long base $a = 64.5625\, \text{in}$, short base $b = 64.4375\, \text{in}$ and side $c = 21.75\, \text{in}$. | 1 |
| 7870 | Find the angle $ \alpha $ of a trapezoid if long base $a = 64.5625\, \text{in}$, short base $b = 64.4375\, \text{in}$ and side $c = 21.75\, \text{in}$. | 1 |
| 7871 | Find the angle $ \beta $ of a trapezoid if long base $a = 64.5625\, \text{in}$, short base $b = 64.4375\, \text{in}$ and side $c = 23\, \text{in}$. | 1 |
| 7872 | Find the long base $ a $ of a trapezoid if long base $a = 99\, \text{mm}$, short base $b = 44\, \text{mm}$ and side $c = 27\, \text{mm}$. | 1 |
| 7873 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 59.5\, \text{mm}$ and height $h = 56\, \text{mm}$. | 1 |
| 7874 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{cm}$ and height $h = 14.8\, \text{cm}$. | 1 |
| 7875 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and area $A = 40\, \text{mm}^2$. | 1 |
| 7876 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 36\, \text{in}$ and height $h = 27\, \text{in}$. | 1 |
| 7877 | Find the long base $ a $ of a trapezoid if long base $a = 2590\, \text{mm}$, short base $b = 1500\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7878 | Find the side $ c $ of a trapezoid if long base $a = 2590\, \text{mm}$, height $h = 2940\, \text{mm}$ and angle $\alpha = 90^o$. | 1 |
| 7879 | Find the long base $ a $ of a trapezoid if long base $a = 107\, \text{cm}$, short base $b = 134\, \text{mm}$, side $c = 237\, \text{cm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7880 | Find the side $ c $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7881 | Find the angle $ \alpha $ of a trapezoid if long base $a = 7.25\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 16.5\, \text{in}$. | 1 |
| 7882 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{mm}$, height $h = 3\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7883 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{m}$, side $c = 2.4\, \text{m}$ and height $h = 0.8\, \text{m}$. | 1 |
| 7884 | Find the long base $ a $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7885 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 7886 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 9.75\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7887 | Find the short base $ b $ of a trapezoid if long base $a = 7.25\, \text{in}$, height $h = 5.875\, \text{in}$ and angle $\alpha = 83^o$. | 1 |
| 7888 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{mm}$, height $h = 9\, \text{mm}$ and area $A = 193.5\, \text{mm}^2$. | 1 |
| 7889 | Find the short base $ b $ of a trapezoid if long base $a = 29\, \text{mm}$, height $h = 9\, \text{mm}$ and area $A = 193.5\, \text{mm}^2$. | 1 |
| 7890 | Find the height $ h $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 8\, \text{mm}$ and area $A = 166.75\, \text{mm}^2$. | 1 |
| 7891 | Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{mm}$, side $c = 6\, \text{mm}$, height $h = 5.196\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 7892 | Find the long base $ a $ of a trapezoid if long base $a = 139\, \text{mm}$, short base $b = 56\, \text{mm}$, side $c = 42\, \text{mm}$ and diagonal $d = 42\, \text{mm}$. | 1 |
| 7893 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$ and angle $\alpha = 45^o$. | 1 |
| 7894 | Find the height $ h $ of a trapezoid if long base $a = 13\, \text{cm}$, side $c = 5\, \text{mm}$ and area $A = 27\, \text{mm}^2$. | 1 |
| 7895 | Find the diagonal $ d $ of a trapezoid if long base $a = 59.5\, \text{in}$, height $h = 41.5\, \text{in}$, area $A = 52\, \text{in}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 7896 | Find the long base $ a $ of a trapezoid if long base $a = 33\, \text{cm}$, short base $b = 27\, \text{cm}$ and area $A = 1350\, \text{cm}^2$. | 1 |
| 7897 | Find the long base $ a $ of a trapezoid if short base $b = 53.5\, \text{in}$, side $c = 22\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 1 |
| 7898 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = \sqrt{ 200 }\, \text{ft}$ and height $h = 10\, \text{ft}$. | 1 |
| 7899 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and side $c = 10\, \text{mm}$. | 1 |
| 7900 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 10\, \text{mm}$. | 1 |
