Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5801 | Find the angle $ \beta $ of a trapezoid if long base $a = 530\, \text{mm}$, short base $b = 330\, \text{mm}$ and height $h = 570\, \text{mm}$. | 2 |
| 5802 | Find the diagonal $ d $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 25\, \text{mm}$. | 2 |
| 5803 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{in}$, angle $\alpha = 36^o$ and angle $\beta = 60^o$. | 2 |
| 5804 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{in}$, height $h = 0.75\, \text{in}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5805 | Find the side $ c $ of a trapezoid if long base $a = 0.3\, \text{m}$, short base $b = 0.2\, \text{m}$ and height $h = 0.8\, \text{m}$. | 2 |
| 5806 | Find the area $ A $ of a trapezoid if long base $a = 0.3\, \text{m}$, short base $b = 0.2\, \text{m}$ and height $h = 0.8\, \text{m}$. | 2 |
| 5807 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 75\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 5808 | Find the angle $ \beta $ of a trapezoid if long base $a = 37.5\, \text{mm}$, short base $b = 33.75\, \text{mm}$ and side $c = 7.5\, \text{mm}$. | 2 |
| 5809 | Find the short base $ b $ of a trapezoid if long base $a = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5810 | Find the long base $ a $ of a trapezoid if short base $b = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 5811 | Find the long base $ a $ of a trapezoid if short base $b = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\beta = 105^o$. | 2 |
| 5812 | Find the height $ h $ of a trapezoid if side $c = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 5813 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 1\, \text{mm}$, side $c = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 5814 | Find the angle $ \beta $ of a trapezoid if long base $a = 820\, \text{mm}$, short base $b = 700\, \text{mm}$ and height $h = 70\, \text{mm}$. | 2 |
| 5815 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 5816 | Find the height $ h $ of a trapezoid if short base $b = 12\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 5817 | Find the long base $ a $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 37.75\, \text{mm}$ and side $c = 58.95\, \text{mm}$. | 2 |
| 5818 | Find the angle $ \beta $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 37.75\, \text{mm}$ and side $c = 58.95\, \text{mm}$. | 2 |
| 5819 | Find the angle $ \beta $ of a trapezoid if short base $b = 14.67\, \text{mm}$, height $h = 58.95\, \text{mm}$ and angle $\alpha = 54^o$. | 2 |
| 5820 | Find the angle $ \alpha $ of a trapezoid if long base $a = 62.88\, \text{in}$, short base $b = 61.1875\, \text{mm}$ and side $c = 76.625\, \text{mm}$. | 2 |
| 5821 | Find the long base $ a $ of a trapezoid if long base $a = 5.862\, \text{mm}$, short base $b = 5.717\, \text{mm}$ and side $c = 1.468\, \text{mm}$. | 2 |
| 5822 | Find the short base $ b $ of a trapezoid if long base $a = 271\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 136^o$. | 2 |
| 5823 | Find the short base $ b $ of a trapezoid if long base $a = 168\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 136^o$. | 2 |
| 5824 | Find the long base $ a $ of a trapezoid if long base $a = 762\, \text{mm}$ and short base $b = 304.8\, \text{mm}$. | 2 |
| 5825 | Find the angle $ \beta $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 5826 | Find the angle $ \alpha $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 5827 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 44\, \text{cm}^2$. | 2 |
| 5828 | Find the height $ h $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 44\, \text{cm}^2$. | 2 |
| 5829 | Find the long base $ a $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 5830 | Find the short base $ b $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 5831 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 5832 | Find the area $ A $ of a trapezoid if long base $a = 6\, \text{cm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 5833 | Find the area $ A $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 13\, \text{ft}$ and side $c = 60\, \text{ft}$. | 2 |
| 5834 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 5835 | Find the area $ A $ of a trapezoid if short base $b = 140\, \text{ft}$, height $h = 15\, \text{ft}$ and angle $\beta = 61^o$. | 2 |
| 5836 | Find the long base $ a $ of a trapezoid if long base $a = 59\, \text{in}$, short base $b = 38.875\, \text{in}$, side $c = 24.8125\, \text{in}$, height $h = 24.8125\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5837 | Find the long base $ a $ of a trapezoid if long base $a = 9.385\, \text{in}$, short base $b = 8.063\, \text{in}$ and side $c = 4.75\, \text{in}$. | 2 |
| 5838 | Find the angle $ \beta $ of a trapezoid if long base $a = 9.385\, \text{in}$, short base $b = 8.063\, \text{in}$ and side $c = 4.75\, \text{in}$. | 2 |
| 5839 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{in}$, side $c = 50\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 5840 | Find the height $ h $ of a trapezoid if long base $a = 47.25\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 44^o$. | 2 |
| 5841 | Find the angle $ \alpha $ of a trapezoid if long base $a = 61.5\, \text{in}$, short base $b = 22.75\, \text{in}$ and side $c = 35.25\, \text{in}$. | 2 |
| 5842 | Find the median $ m $ of a trapezoid if long base $a = 61.5\, \text{in}$, short base $b = 22.75\, \text{in}$ and side $c = 35.25\, \text{in}$. | 2 |
| 5843 | Find the long base $ a $ of a trapezoid if long base $a = 121\, \text{mm}$, short base $b = 313\, \text{mm}$, side $c = 312\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 5844 | Find the diagonal $ d $ of a trapezoid if long base $a = 121\, \text{mm}$, short base $b = 313\, \text{mm}$ and side $c = 312\, \text{mm}$. | 2 |
| 5845 | Find the long base $ a $ of a trapezoid if side $c = 10\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 5846 | Find the long base $ a $ of a trapezoid if side $c = 10\, \text{mm}$, median $m = 18\, \text{mm}$ and perimeter $P = 56\, \text{mm}$. | 2 |
| 5847 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 3\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 5848 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 3\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 5849 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 180^o$. | 2 |
| 5850 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 10\, \text{in}$ and angle $\beta = 135^o$. | 2 |
