Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 9801 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{mm}$, height $h = 1058\, \text{mm}$ and median $m = 0.0373\, \text{mm}$. | 1 |
| 9802 | Find the long base $ a $ of a trapezoid if short base $b = 0.0729\, \text{mm}$, height $h = 1058\, \text{mm}$ and median $m = 0.0373\, \text{mm}$. | 1 |
| 9803 | Find the long base $ a $ of a trapezoid if short base $b = 0.0729\, \text{mm}$, height $h = 1058\, \text{mm}$, median $m = 0.0373\, \text{mm}$ and angle $\alpha = 60^o$. | 1 |
| 9804 | Find the long base $ a $ of a trapezoid if median $m = 1\, \text{mm}$ and angle $\alpha = 86^o$. | 1 |
| 9805 | Find the long base $ a $ of a trapezoid if height $h = 0.27\, \text{mm}$, median $m = 1\, \text{mm}$ and angle $\alpha = 86^o$. | 1 |
| 9806 | Find the long base $ a $ of a trapezoid if height $h = 10\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9807 | Find the short base $ b $ of a trapezoid if height $h = 10\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9808 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 36\, \text{in}$, side $c = 40\, \text{in}$ and angle $\alpha = 120^o$. | 1 |
| 9809 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{ft}$, side $c = 4\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 9810 | Find the long base $ a $ of a trapezoid if long base $a = 1880\, \text{mm}$, short base $b = 605\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9811 | Find the long base $ a $ of a trapezoid if short base $b = 605\, \text{mm}$, side $c = 910\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9812 | Find the long base $ a $ of a trapezoid if short base $b = 605\, \text{mm}$, side $c = 910\, \text{mm}$, height $h = 655\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9813 | Find the side $ c $ of a trapezoid if long base $a = 80\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 9814 | Find the long base $ a $ of a trapezoid if side $c = 50\, \text{mm}$, angle $\alpha = 95^o$ and angle $\beta = 90^o$. | 1 |
| 9815 | Find the height $ h $ of a trapezoid if side $c = 50\, \text{mm}$, angle $\alpha = 95^o$ and angle $\beta = 90^o$. | 1 |
| 9816 | Find the height $ h $ of a trapezoid if short base $b = 434\, \text{mm}$, angle $\alpha = 95^o$ and angle $\beta = 90^o$. | 1 |
| 9817 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9818 | Find the height $ h $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9819 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 33\, \text{mm}$ and side $c = 45\, \text{mm}$. | 1 |
| 9820 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 3\, \text{mm}$. | 1 |
| 9821 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 1 |
| 9822 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6\, \text{mm}$. | 1 |
| 9823 | Find the angle $ \alpha $ of a trapezoid if long base $a = 310\, \text{mm}$, short base $b = 170\, \text{mm}$ and height $h = 559\, \text{mm}$. | 1 |
| 9824 | Find the angle $ \beta $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 4.25\, \text{mm}$. | 1 |
| 9825 | Find the angle $ \beta $ of a trapezoid if long base $a = 16.75\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 4.25\, \text{in}$. | 1 |
| 9826 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{mm}$, side $c = 22\, \text{in}$ and angle $\beta = 135^o$. | 1 |
| 9827 | Find the side $ c $ of a trapezoid if long base $a = 72\, \text{in}$, side $c = 22\, \text{in}$, height $h = 16\, \text{in}$ and angle $\beta = 135^o$. | 1 |
| 9828 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{cm}$, short base $b = 3\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 1 |
| 9829 | Find the area $ A $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 3\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 3\, \text{mm}$. | 1 |
| 9830 | Find the side $ c $ of a trapezoid if short base $b = 40\, \text{in}$, height $h = 16\, \text{in}$ and angle $\beta = 135^o$. | 1 |
| 9831 | Find the long base $ a $ of a trapezoid if long base $a = 81\, \text{cm}$, short base $b = 60\, \text{cm}$, side $c = 18\, \text{cm}$, height $h = 66\, \text{cm}$, median $m = 9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 9832 | Find the side $ c $ of a trapezoid if long base $a = 800\, \text{mm}$, short base $b = 620\, \text{mm}$ and height $h = 620\, \text{mm}$. | 1 |
| 9833 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{in}$, height $h = 35\, \text{in}$ and angle $\alpha = 75^o$. | 1 |
| 9834 | Find the long base $ a $ of a trapezoid if long base $a = 20.5\, \text{in}$, short base $b = 19.25\, \text{in}$ and height $h = 9\, \text{in}$. | 1 |
| 9835 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 2.75\, \text{mm}$. | 1 |
| 9836 | Find the perimeter $ P $ of a trapezoid if long base $a = 3040\, \text{mm}$, short base $b = 2395\, \text{mm}$ and height $h = 490\, \text{mm}$. | 1 |
| 9837 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 8\, \text{ft}$, side $c = 18\, \text{ft}$ and height $h = 18\, \text{ft}$. | 1 |
| 9838 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 16\, \text{ft}$. | 1 |
| 9839 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 16\, \text{ft}$. | 1 |
| 9840 | Find the angle $ \beta $ of a trapezoid if long base $a = 11.5\, \text{in}$, short base $b = 10.75\, \text{in}$ and height $h = 9.375\, \text{in}$. | 1 |
| 9841 | Find the long base $ a $ of a trapezoid if long base $a = 3.5625\, \text{in}$, short base $b = 3.25\, \text{in}$ and height $h = 2.5\, \text{in}$. | 1 |
| 9842 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$ and side $c = 80\, \text{in}$. | 1 |
| 9843 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, angle $\alpha = 65^o$ and angle $\beta = 115^o$. | 1 |
| 9844 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, angle $\alpha = 65^o$ and angle $\beta = 115^o$. | 1 |
| 9845 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 7\, \text{in}$. | 1 |
| 9846 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{in}$, side $c = 12\, \text{in}$ and height $h = 12\, \text{in}$. | 1 |
| 9847 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{in}$, side $c = 12\, \text{in}$ and height $h = 11\, \text{in}$. | 1 |
| 9848 | Find the side $ c $ of a trapezoid if long base $a = 6\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 12\, \text{in}$. | 1 |
| 9849 | Find the long base $ a $ of a trapezoid if long base $a = 3076\, \text{mm}$, short base $b = 2712\, \text{mm}$, side $c = 1300\, \text{mm}$ and diagonal $d = 3167.3509\, \text{mm}$. | 1 |
| 9850 | Find the angle $ \beta $ of a trapezoid if long base $a = 7.89\, \text{mm}$, short base $b = 2.68\, \text{mm}$, height $h = 11.6\, \text{mm}$ and angle $\alpha = 77.3431^o$. | 1 |
