Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 801 | Find the long base $ a $ of a trapezoid if long base $a = 3.5\, \text{mm}$, short base $b = 1.5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 4 |
| 802 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{mm}^2$. | 4 |
| 803 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$, area $A = 3\, \text{m}^2$ and angle $\alpha = 78.232^o$. | 4 |
| 804 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$ and height $h = 2.5\, \text{m}$. | 4 |
| 805 | Find the angle $ \alpha $ of a trapezoid if long base $a = 92.5\, \text{mm}$, short base $b = 38\, \text{mm}$, side $c = 59\, \text{mm}$ and diagonal $d = 70\, \text{mm}$. | 4 |
| 806 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2.25\, \text{cm}$ and side $c = 24\, \text{cm}$. | 4 |
| 807 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, height $h = 6\, \text{ft}$, angle $\alpha = 146^o$ and angle $\beta = 34^o$. | 4 |
| 808 | Find the long base $ a $ of a trapezoid if long base $a = 58.5\, \text{in}$, short base $b = 48.25\, \text{in}$ and side $c = 35.375\, \text{in}$. | 4 |
| 809 | Find the long base $ a $ of a trapezoid if long base $a = 1100\, \text{mm}$, short base $b = 290\, \text{mm}$ and height $h = 450\, \text{mm}$. | 4 |
| 810 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 811 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{ft}$, short base $b = 4\, \text{ft}$ and height $h = 12\, \text{ft}$. | 4 |
| 812 | Find the long base $ a $ of a trapezoid if height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 4 |
| 813 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 4 |
| 814 | Find the diagonal $ d $ of a trapezoid if long base $a = 264\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 298\, \text{in}$. | 4 |
| 815 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{dm}$, short base $b = 29\, \text{cm}$ and height $h = 24\, \text{cm}$. | 4 |
| 816 | Find the long base $ a $ of a trapezoid if angle $\alpha = 52^o$ and angle $\beta = 128^o$. | 4 |
| 817 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 18267 }{ 10000 }$, short base $b = \frac{ 9133 }{ 10000 }$ and side $c = \frac{ 9133 }{ 10000 }$. | 4 |
| 818 | Find the short base $ b $ of a trapezoid if long base $a = 480$, height $h = 110$ and angle $\alpha = 120^o$. | 4 |
| 819 | Find the long base $ a $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 820 | Find the short base $ b $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 821 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 4 |
| 822 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = \frac{ 711 }{ 25 }$ and height $h = 28$. | 4 |
| 823 | Find the long base $ a $ of a trapezoid if long base $a = 21.8125\, \text{in}$, short base $b = 19.375\, \text{in}$ and height $h = 13\, \text{in}$. | 4 |
| 824 | Find the area $ A $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 72^o$. | 4 |
| 825 | Find the long base $ a $ of a trapezoid if long base $a = 29\, \text{mm}$, short base $b = 17\, \text{mm}$, side $c = 15.2\, \text{mm}$ and height $h = 14\, \text{mm}$. | 4 |
| 826 | Find the short base $ b $ of a trapezoid if long base $a = 29.3\, \text{mm}$, height $h = 39\, \text{mm}$ and angle $\alpha = 80^o$. | 4 |
| 827 | Find the long base $ a $ of a trapezoid if side $c = 11\, \text{cm}$ and diagonal $d = 22\, \text{cm}$. | 4 |
| 828 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{cm}$, short base $b = 5\, \text{cm}$ and height $h = 4\, \text{cm}$. | 4 |
| 829 | Find the short base $ b $ of a trapezoid if ???. | 4 |
| 830 | Find the long base $ a $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$ and angle $\alpha = 46.302^o$. | 4 |
| 831 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$ and angle $\alpha = 46.302^o$. | 4 |
| 832 | Find the short base $ b $ of a trapezoid if long base $a = 83\, \text{in}$ and side $c = 41.5\, \text{in}$. | 4 |
| 833 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 4 |
| 834 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 4 |
| 835 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 3\, \text{ft}$, angle $\alpha = 86^o$ and angle $\beta = 94^o$. | 4 |
| 836 | Find the side $ c $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 3\, \text{ft}$ and angle $\beta = 94^o$. | 4 |
| 837 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 283 }{ 8 }\, \text{in}$, side $c = \frac{ 595 }{ 8 }\, \text{in}$ and height $h = 82\, \text{in}$. | 4 |
| 838 | Find the angle $ \alpha $ of a trapezoid if long base $a = 76.25\, \text{in}$, side $c = 80.125\, \text{in}$ and height $h = 57.25\, \text{in}$. | 4 |
| 839 | Find the long base $ a $ of a trapezoid if short base $b = 10.8801\, \text{cm}$, height $h = 14.3\, \text{cm}$ and angle $\beta = 113^o$. | 4 |
| 840 | Find the long base $ a $ of a trapezoid if long base $a = 185\, \text{cm}$ and side $c = 67\, \text{cm}$. | 4 |
| 841 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$, side $c = 6.4\, \text{mm}$ and diagonal $d = 6.4\, \text{mm}$. | 4 |
| 842 | Find the long base $ a $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 843 | Find the angle $ \beta $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 4 |
| 844 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{in}$ and side $c = 7\, \text{mm}$. | 4 |
| 845 | Find the short base $ b $ of a trapezoid if long base $a = 300\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 846 | Find the long base $ a $ of a trapezoid if height $h = 212.6457\, \text{mm}$, area $A = 144001\, \text{mm}^2$, angle $\alpha = 70.584^o$ and angle $\beta = 19.416^o$. | 4 |
| 847 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{mm}$ and height $h = 0.61\, \text{mm}$. | 4 |
| 848 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\beta = 60^o$. | 4 |
| 849 | Find the long base $ a $ of a trapezoid if long base $a = 63.75\, \text{in}$, short base $b = 43.75\, \text{in}$ and side $c = 19.25\, \text{in}$. | 4 |
| 850 | Find the height $ h $ of a trapezoid if long base $a = 162\, \text{mm}$, short base $b = 175.5\, \text{mm}$ and side $c = 218.7\, \text{mm}$. | 4 |
