Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1751 | Find the long base $ a $ of a trapezoid if short base $b = 11$, side $c = 30$ and angle $\alpha = 80^o$. | 3 |
| 1752 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 40$ and height $h = 80$. | 3 |
| 1753 | Find the side $ c $ of a trapezoid if long base $a = 38$, short base $b = 24$ and height $h = 13$. | 3 |
| 1754 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 12$ and area $A = 150$. | 3 |
| 1755 | Find the side $ c $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 4.5\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1756 | Find the long base $ a $ of a trapezoid if long base $a = 190\, \text{ft}$, short base $b = 180.29\, \text{ft}$ and side $c = 111.34\, \text{ft}$. | 3 |
| 1757 | Find the side $ c $ of a trapezoid if long base $a = 78.5\, \text{mm}$, short base $b = 54.5\, \text{mm}$ and height $h = 6\, \text{mm}$. | 3 |
| 1758 | Find the long base $ a $ of a trapezoid if short base $b = 5\, \text{cm}$, side $c = 11.9\, \text{cm}$ and height $h = 11.9\, \text{mm}$. | 3 |
| 1759 | Find the long base $ a $ of a trapezoid if long base $a = 2280\, \text{m}$, side $c = 175\, \text{cm}$, height $h = 1020\, \text{cm}$ and angle $\alpha = 90^o$. | 3 |
| 1760 | Find the height $ h $ of a trapezoid if long base $a = 1.25\, \text{in}$, short base $b = 1\, \text{in}$ and angle $\beta = 95^o$. | 3 |
| 1761 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{yd}$, short base $b = \frac{ 131 }{ 5 }\, \text{yd}$ and height $h = \frac{ 33 }{ 4 }\, \text{yd}$. | 3 |
| 1762 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$ and short base $b = 160\, \text{mm}$. | 3 |
| 1763 | Find the median $ m $ of a trapezoid if long base $a = 220\, \text{mm}$, short base $b = 160\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1764 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{dm}$, short base $b = 5\, \text{cm}$ and diagonal $d = 7\, \text{cm}$. | 3 |
| 1765 | Find the area $ A $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 10\, \text{ft}$ and height $h = \sqrt{ 7 }\, \text{ft}$. | 3 |
| 1766 | Find the angle $ \beta $ of a trapezoid if long base $a = 192\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 96\, \text{in}$. | 3 |
| 1767 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$. | 3 |
| 1768 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{in}$, short base $b = 12\, \text{mm}$ and height $h = 10\, \text{mm}$. | 3 |
| 1769 | Find the long base $ a $ of a trapezoid if side $c = 59.4\, \text{ft}$, angle $\alpha = 81.64^o$ and angle $\beta = 124.71^o$. | 3 |
| 1770 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, height $h = 4\, \text{cm}$ and angle $\beta = 113.0255^o$. | 3 |
| 1771 | Find the long base $ a $ of a trapezoid if short base $b = 8.268\, \text{cm}$, height $h = 12.7\, \text{cm}$ and angle $\alpha = 67^o$. | 3 |
| 1772 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 3 |
| 1773 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.25\, \text{in}^2$. | 3 |
| 1774 | Find the long base $ a $ of a trapezoid if long base $a = 3100\, \text{mm}$, short base $b = 1750\, \text{mm}$ and height $h = 6210\, \text{mm}$. | 3 |
| 1775 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1776 | Find the long base $ a $ of a trapezoid if long base $a = 75\, \text{mm}$, short base $b = 25\, \text{mm}$ and height $h = 56\, \text{mm}$. | 3 |
| 1777 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$, short base $b = 20\, \text{mm}$ and side $c = 30\, \text{mm}$. | 3 |
| 1778 | Find the angle $ \alpha $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 64\, \text{in}$. | 3 |
| 1779 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 16\, \text{mm}$. | 3 |
| 1780 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{km}$, short base $b = 2.5\, \text{cm}$ and side $c = 24\, \text{cm}$. | 3 |
| 1781 | Find the height $ h $ of a trapezoid if long base $a = 65\, \text{ft}$, short base $b = 25\, \text{ft}$ and side $c = 22\, \text{ft}$. | 3 |
| 1782 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 4$ and side $c = \frac{ 58 }{ 5 }$. | 3 |
| 1783 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 6 }{ 25 }$, height $h = \frac{ 17 }{ 250 }$ and angle $\alpha = 45^o$. | 3 |
| 1784 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$, side $c = \frac{ 711 }{ 25 }$ and height $h = 24$. | 3 |
| 1785 | Find the angle $ \beta $ of a trapezoid if long base $a = 80$, short base $b = 48$ and height $h = 24$. | 3 |
| 1786 | Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 10$ and area $A = 85$. | 3 |
| 1787 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, side $c = \frac{ 417 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 1788 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 207 }{ 2 }$, height $h = \frac{ 417 }{ 4 }$ and angle $\alpha = 86^o$. | 3 |
| 1789 | Find the long base $ a $ of a trapezoid if long base $a = 36$, short base $b = 28$ and height $h = 20$. | 3 |
| 1790 | Find the long base $ a $ of a trapezoid if long base $a = 14$, short base $b = 8$ and height $h = 20$. | 3 |
| 1791 | Find the area $ A $ of a trapezoid if long base $a = 12$, short base $b = 5$ and height $h = 4$. | 3 |
| 1792 | Find the side $ c $ of a trapezoid if long base $a = 72$, side $c = \frac{ 45 }{ 4 }$ and height $h = 8$. | 3 |
| 1793 | Find the of a trapezoid if long base $a = 70$, short base $b = 10$ and height $h = 30$. | 3 |
| 1794 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 3 |
| 1795 | Find the area $ A $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 3 |
| 1796 | Find the long base $ a $ of a trapezoid if short base $b = 3$, side $c = \frac{ 18 }{ 5 }$ and height $h = 2$. | 3 |
| 1797 | Find the of a trapezoid if long base $a = \frac{ 115 }{ 2 }$, side $c = \frac{ 35 }{ 4 }$, diagonal $d = \frac{ 475 }{ 8 }$ and height $h = \frac{ 91 }{ 4 }$. | 3 |
| 1798 | Find the long base $ a $ of a trapezoid if long base $a = 140$, short base $b = 80$, side $c = 600$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1799 | Find the long base $ a $ of a trapezoid if long base $a = 140$ and short base $b = 80$. | 3 |
| 1800 | Find the of a trapezoid if long base $a = \frac{ 9493 }{ 250 }$, short base $b = \sqrt{ 200 }$ and height $h = 3 \sqrt{ 200 }$. | 3 |
