Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 15851 | Find the long base $ a $ of a trapezoid if long base $a = 12$, height $h = \frac{ 3 }{ 4 }$ and angle $\alpha = 45^o$. | 1 |
| 15852 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 15853 | Find the of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 15854 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 5 }{ 4 }$, short base $b = 1$ and side $c = \frac{ 65 }{ 4 }$. | 1 |
| 15855 | Find the long base $ a $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 15856 | Find the height $ h $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 15857 | Find the angle $ \beta $ of a trapezoid if long base $a = 115$, short base $b = 70$ and side $c = 165$. | 1 |
| 15858 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = \frac{ 47 }{ 10 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 15859 | Find the short base $ b $ of a trapezoid if long base $a = 4$ and side $c = 8$. | 1 |
| 15860 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 8$ and angle $\alpha = 30^o$. | 1 |
| 15861 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 8$ and height $h = 8$. | 1 |
| 15862 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = \frac{ 35 }{ 4 }$ and height $h = 8$. | 1 |
| 15863 | Find the long base $ a $ of a trapezoid if short base $b = 1280$, height $h = 980$ and angle $\alpha = \frac{ 135 }{ 2 }^o$. | 1 |
| 15864 | Find the long base $ a $ of a trapezoid if long base $a = 40$, short base $b = 24$ and height $h = 25$. | 1 |
| 15865 | Find the height $ h $ of a trapezoid if long base $a = 11$, short base $b = 6$ and side $c = 8$. | 1 |
| 15866 | Find the of a trapezoid if long base $a = 2010$, short base $b = 2000$ and side $c = 845$. | 1 |
| 15867 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 381 }{ 25 }$, short base $b = \frac{ 67 }{ 10 }$ and side $c = \frac{ 4267 }{ 100 }$. | 1 |
| 15868 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 381 }{ 25 }$, short base $b = \frac{ 67 }{ 10 }$ and side $c = \frac{ 4267 }{ 100 }$. | 1 |
| 15869 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 15870 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 15871 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 25 }{ 4 }$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 15872 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 11 }{ 10 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 15873 | Find the long base $ a $ of a trapezoid if long base $a = 9$, short base $b = 8$, angle $\alpha = 90^o$ and angle $\beta = 30^o$. | 1 |
| 15874 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 103 }{ 250 }$, short base $b = \frac{ 397 }{ 1000 }$ and angle $\alpha = 50^o$. | 1 |
| 15875 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 103 }{ 250 }$, short base $b = \frac{ 397 }{ 1000 }$ and angle $\beta = 130^o$. | 1 |
| 15876 | Find the of a trapezoid if long base $a = 4280$, short base $b = 1320$, side $c = 2000$ and diagonal $d = 3100$. | 1 |
| 15877 | Find the of a trapezoid if long base $a = 4280$, short base $b = 1320$ and side $c = 2000$. | 1 |
| 15878 | Find the height $ h $ of a trapezoid if long base $a = 1270$, short base $b = 1054$ and side $c = 805$. | 1 |
| 15879 | Find the long base $ a $ of a trapezoid if long base $a = 2579$, short base $b = 996$ and height $h = 844$. | 1 |
| 15880 | Find the short base $ b $ of a trapezoid if long base $a = 3$ and height $h = \frac{ 5 }{ 2 }$. | 1 |
| 15881 | Find the long base $ a $ of a trapezoid if long base $a = 63$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 15882 | Find the short base $ b $ of a trapezoid if long base $a = 63$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 15883 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$, angle $\alpha = 72^o$ and angle $\beta = 108^o$. | 1 |
| 15884 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$ and angle $\alpha = 72^o$. | 1 |
| 15885 | Find the of a trapezoid if long base $a = \frac{ 8 }{ 25 }$, short base $b = \frac{ 51 }{ 200 }$ and height $h = \frac{ 61 }{ 500 }$. | 1 |
| 15886 | Find the short base $ b $ of a trapezoid if long base $a = 63$, height $h = 30$ and angle $\alpha = 75^o$. | 1 |
| 15887 | Find the perimeter $ P $ of a trapezoid if long base $a = 20$, short base $b = 15$, angle $\alpha = \frac{ 398 }{ 5 }^o$ and angle $\beta = \frac{ 4047 }{ 50 }^o$. | 1 |
| 15888 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 10$ and height $h = 6$. | 1 |
| 15889 | Find the perimeter $ P $ of a trapezoid if long base $a = \frac{ 36 }{ 5 }$, side $c = \frac{ 27 }{ 5 }$ and angle $\alpha = 90^o$. | 1 |
| 15890 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 37 }{ 100 }$, height $h = \frac{ 11 }{ 100 }$, angle $\alpha = 41^o$ and angle $\beta = 139^o$. | 1 |
| 15891 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 3$ and diagonal $d = 55$. | 1 |
| 15892 | Find the area $ A $ of a trapezoid if long base $a = 25$ and height $h = 16$. | 1 |
| 15893 | Find the long base $ a $ of a trapezoid if diagonal $d = 8 \sqrt{ 2 }$ and angle $\beta = 45^o$. | 1 |
| 15894 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 12$ and angle $\alpha = 45^o$. | 1 |
| 15895 | Find the long base $ a $ of a trapezoid if long base $a = 58$ and height $h = \frac{ 59 }{ 2 }$. | 1 |
| 15896 | Find the short base $ b $ of a trapezoid if long base $a = 58$ and height $h = \frac{ 59 }{ 2 }$. | 1 |
| 15897 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, short base $b = \frac{ 1307 }{ 16 }$ and height $h = \frac{ 659 }{ 8 }$. | 1 |
| 15898 | Find the long base $ a $ of a trapezoid if long base $a = 7$ and short base $b = 3$. | 1 |
| 15899 | Find the median $ m $ of a trapezoid if long base $a = 7$ and short base $b = 3$. | 1 |
| 15900 | Find the short base $ b $ of a trapezoid if long base $a = 9$ and median $m = \frac{ 13 }{ 2 }$. | 1 |