Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 8751 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{m}$ and short base $b = 31\, \text{m}$. | 1 |
| 8752 | Find the angle $ \alpha $ of a trapezoid if long base $a = 55\, \text{m}$ and short base $b = 31\, \text{m}$. | 1 |
| 8753 | Find the angle $ \alpha $ of a trapezoid if long base $a = 55\, \text{m}$, short base $b = 31\, \text{m}$ and height $h = 45\, \text{m}$. | 1 |
| 8754 | Find the angle $ \beta $ of a trapezoid if long base $a = 55\, \text{m}$, short base $b = 31\, \text{m}$ and height $h = 45\, \text{m}$. | 1 |
| 8755 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 137 }{ 8 }\, \text{in}$ and short base $b = \frac{ 97 }{ 16 }\, \text{mm}$. | 1 |
| 8756 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 137 }{ 8 }\, \text{in}$, short base $b = \frac{ 97 }{ 16 }\, \text{mm}$ and height $h = 2.5\, \text{in}$. | 1 |
| 8757 | Find the angle $ \alpha $ of a trapezoid if long base $a = \frac{ 137 }{ 8 }\, \text{in}$, short base $b = \frac{ 97 }{ 16 }\, \text{mm}$ and height $h = 2.5\, \text{in}$. | 1 |
| 8758 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 137 }{ 8 }\, \text{in}$, short base $b = \frac{ 97 }{ 16 }\, \text{in}$ and height $h = 2.25\, \text{in}$. | 1 |
| 8759 | Find the long base $ a $ of a trapezoid if long base $a = 13.75\, \text{mm}$, short base $b = 7.25\, \text{mm}$ and height $h = 12.5\, \text{mm}$. | 1 |
| 8760 | Find the angle $ \beta $ of a trapezoid if long base $a = 11.2\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 8761 | Find the long base $ a $ of a trapezoid if long base $a = 541\, \text{mm}$, short base $b = 225\, \text{mm}$ and height $h = 247\, \text{mm}$. | 1 |
| 8762 | Find the angle $ \alpha $ of a trapezoid if long base $a = 541\, \text{mm}$, short base $b = 225\, \text{mm}$ and height $h = 247\, \text{mm}$. | 1 |
| 8763 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 2\, \text{mm}$ and height $h = 5\, \text{mm}$. | 1 |
| 8764 | Find the perimeter $ P $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 26\, \text{cm}$ and height $h = 36\, \text{cm}$. | 1 |
| 8765 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 3\, \text{in}$, side $c = 72\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8766 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, side $c = 72\, \text{in}$ and angle $\alpha = 90^o$. | 1 |
| 8767 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 3\, \text{in}$ and side $c = 72\, \text{in}$. | 1 |
| 8768 | Find the angle $ \alpha $ of a trapezoid if long base $a = 13\, \text{in}$, short base $b = 3\, \text{in}$ and side $c = 72\, \text{in}$. | 1 |
| 8769 | Find the long base $ a $ of a trapezoid if side $c = 62\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8770 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$, side $c = 62\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8771 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 1\, \text{mm}$. | 1 |
| 8772 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 70\, \text{mm}$ and side $c = 130\, \text{mm}$. | 1 |
| 8773 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 70\, \text{mm}$, side $c = 130\, \text{mm}$, diagonal $d = 180\, \text{mm}$, height $h = 70\, \text{mm}$ and median $m = 100\, \text{mm}$. | 1 |
| 8774 | Find the long base $ a $ of a trapezoid if long base $a = 10.62\, \text{mm}$, side $c = 2.655\, \text{mm}$ and angle $\alpha = 30^o$. | 1 |
| 8775 | Find the long base $ a $ of a trapezoid if short base $b = 5.31\, \text{mm}$, side $c = 2.655\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 1 |
| 8776 | Find the median $ m $ of a trapezoid if long base $a = 10.62\, \text{mm}$, short base $b = 5.31\, \text{mm}$, side $c = 5.31\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 1 |
| 8777 | Find the long base $ a $ of a trapezoid if long base $a = 27\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8778 | Find the short base $ b $ of a trapezoid if long base $a = 27\, \text{in}$, side $c = 15\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8779 | Find the height $ h $ of a trapezoid if long base $a = 10.62\, \text{mm}$, short base $b = 5.31\, \text{mm}$ and side $c = 5.31\, \text{mm}$. | 1 |
| 8780 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 24\, \text{in}$ and angle $\alpha = 60^o$. | 1 |
| 8781 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 1 |
| 8782 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 8783 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 24\, \text{in}$. | 1 |
| 8784 | Find the height $ h $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 12\, \text{in}$. | 1 |
| 8785 | Find the area $ A $ of a trapezoid if long base $a = 19.85\, \text{m}$, short base $b = 10.8\, \text{m}$ and side $c = 6.98\, \text{m}$. | 1 |
| 8786 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 1 |
| 8787 | Find the long base $ a $ of a trapezoid if short base $b = 1245\, \text{mm}$, side $c = 745\, \text{mm}$ and height $h = 675\, \text{mm}$. | 1 |
| 8788 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 8\, \text{in}$, side $c = 12.25\, \text{in}$ and height $h = 12.25\, \text{in}$. | 1 |
| 8789 | Find the short base $ b $ of a trapezoid if long base $a = 0.2\, \text{mm}$, side $c = 0.01\, \text{mm}$, diagonal $d = 0.01\, \text{mm}$, height $h = 0.2\, \text{mm}$ and angle $\alpha = 48^o$. | 1 |
| 8790 | Find the long base $ a $ of a trapezoid if long base $a = 18.6\, \text{mm}$, side $c = 9.2\, \text{mm}$ and height $h = 7.2\, \text{mm}$. | 1 |
| 8791 | Find the long base $ a $ of a trapezoid if perimeter $P = 25\, \text{mm}$. | 1 |
| 8792 | Find the diagonal $ d $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 8\, \text{in}$. | 1 |
| 8793 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 8\, \text{in}$. | 1 |
| 8794 | Find the long base $ a $ of a trapezoid if long base $a = 9.8\, \text{in}$, short base $b = 4\, \text{in}$, side $c = 9.8\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 1 |
| 8795 | Find the long base $ a $ of a trapezoid if long base $a = 9.8\, \text{in}$, short base $b = 4\, \text{in}$ and angle $\beta = 90^o$. | 1 |
| 8796 | Find the angle $ \beta $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 26\, \text{in}$ and height $h = 61\, \text{in}$. | 1 |
| 8797 | Find the angle $ \beta $ of a trapezoid if short base $b = 26\, \text{in}$, height $h = 8\, \text{in}$, angle $\alpha = 46^o$ and angle $\beta = 134^o$. | 1 |
| 8798 | Find the long base $ a $ of a trapezoid if long base $a = 24.5\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{mm}$. | 1 |
| 8799 | Find the long base $ a $ of a trapezoid if long base $a = 24.5\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
| 8800 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24.5\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 20\, \text{in}$. | 1 |
