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 diagonal $ d $ of a trapezoid if long base $a = 5$, short base $b = 2$ and side $c = 2$. | 3 |
| 1752 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = 12$ and angle $\beta = 5^o$. | 3 |
| 1753 | Find the side $ c $ of a trapezoid if long base $a = 80$, short base $b = 72$ and height $h = 22$. | 3 |
| 1754 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1755 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 32 }{ 5 }$ and angle $\alpha = 90^o$. | 3 |
| 1756 | Find the angle $ \beta $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 3 |
| 1757 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 5$ and diagonal $d = \sqrt{ 75 }$. | 3 |
| 1758 | Find the short base $ b $ of a trapezoid if long base $a = 10$, diagonal $d = \frac{ 3977 }{ 250 }$ and height $h = \frac{ 99 }{ 8 }$. | 3 |
| 1759 | Find the of a trapezoid if long base $a = 36$, short base $b = 24$ and side $c = 60$. | 3 |
| 1760 | Find the height $ h $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = \frac{ 62197 }{ 50 }$ and angle $\alpha = 120^o$. | 3 |
| 1761 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 265 }{ 4 }$, side $c = \frac{ 31 }{ 2 }$ and height $h = \frac{ 23 }{ 2 }$. | 3 |
| 1762 | Find the angle $ \beta $ of a trapezoid if long base $a = 22$, short base $b = 16$ and height $h = \frac{ 55 }{ 2 }$. | 3 |
| 1763 | Find the angle $ \beta $ of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 8$. | 3 |
| 1764 | Find the short base $ b $ of a trapezoid if long base $a = 50$ and angle $\alpha = 74^o$. | 3 |
| 1765 | Find the long base $ a $ of a trapezoid if long base $a = 26$, height $h = 28$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 3 |
| 1766 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 147$ and side $c = 900$. | 3 |
| 1767 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 19$ and angle $\alpha = 84^o$. | 3 |
| 1768 | Find the of a trapezoid if long base $a = \frac{ 3 }{ 2 }$, short base $b = \frac{ 3 }{ 4 }$ and height $h = \frac{ 3 }{ 2 }$. | 3 |
| 1769 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = \frac{ 23 }{ 5 }$ and angle $\beta = 120^o$. | 3 |
| 1770 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 75$ and height $h = 72$. | 3 |
| 1771 | Find the long base $ a $ of a trapezoid if long base $a = 8000$, short base $b = 3400$, side $c = 8000$ and diagonal $d = 8000$. | 3 |
| 1772 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 600$ and height $h = 400$. | 3 |
| 1773 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 5$ and height $h = 15$. | 3 |
| 1774 | Find the area $ A $ of a trapezoid if long base $a = 476$, side $c = 276$, diagonal $d = 309$, angle $\alpha = 90^o$ and angle $\beta = 86^o$. | 3 |
| 1775 | Find the area $ A $ of a trapezoid if long base $a = 2687$, short base $b = 2353$ and height $h = 4780$. | 3 |
| 1776 | Find the area $ A $ of a trapezoid if long base $a = 3262$, short base $b = 2727$ and height $h = 2688$. | 3 |
| 1777 | Find the height $ h $ of a trapezoid if long base $a = 37$, short base $b = 29$ and side $c = 46$. | 3 |
| 1778 | Find the long base $ a $ of a trapezoid if long base $a = 17$, side $c = \frac{ 113137 }{ 20000 }$, height $h = 4$ and angle $\alpha = 45^o$. | 3 |
| 1779 | Find the short base $ b $ of a trapezoid if long base $a = 17$, height $h = 4$ and angle $\alpha = 45^o$. | 3 |
| 1780 | Find the height $ h $ of a trapezoid if long base $a = 15$, short base $b = 9$ and side $c = 4$. | 3 |
| 1781 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 2059 }{ 250 }$, short base $b = \frac{ 684 }{ 125 }$ and area $A = 20 \sqrt{ 5 }$. | 3 |
| 1782 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 4$, side $c = 200$ and diagonal $d = 200$. | 3 |
| 1783 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 4$ and side $c = 200$. | 3 |
| 1784 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 3333 }{ 10000 }$, side $c = \frac{ 17 }{ 10 }$ and height $h = \frac{ 1667 }{ 1000 }$. | 3 |
| 1785 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 7$ and height $h = 46$. | 3 |
| 1786 | Find the of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = 6$. | 3 |
| 1787 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 6$ and height $h = 7$. | 3 |
| 1788 | Find the long base $ a $ of a trapezoid if long base $a = 56$, short base $b = 36$ and side $c = 132$. | 3 |
| 1789 | Find the of a trapezoid if long base $a = \frac{ 551 }{ 20 }$, short base $b = \frac{ 1343 }{ 50 }$ and height $h = 5$. | 3 |
| 1790 | Find the short base $ b $ of a trapezoid if long base $a = 14$, height $h = 20$ and area $A = 182$. | 3 |
| 1791 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 4$ and height $h = \frac{ 27 }{ 4 }$. | 3 |
| 1792 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 83 }{ 10 }$, side $c = \frac{ 181 }{ 25 }$ and height $h = 7$. | 3 |
| 1793 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = \frac{ 89 }{ 16 }$ and angle $\alpha = 45^o$. | 3 |
| 1794 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 2 }{ 5 }$, height $h = \frac{ 6 }{ 5 }$ and angle $\alpha = 88^o$. | 3 |
| 1795 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 41 }{ 100 }$, height $h = \frac{ 6 }{ 5 }$ and angle $\alpha = \frac{ 87137 }{ 1000 }^o$. | 3 |
| 1796 | Find the long base $ a $ of a trapezoid if long base $a = 130$. | 3 |
| 1797 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 6$ and side $c = 8$. | 3 |
| 1798 | Find the diagonal $ d $ of a trapezoid if long base $a = 9$, short base $b = 7$ and side $c = 11$. | 3 |
| 1799 | Find the area $ A $ of a trapezoid if long base $a = 68$, short base $b = \frac{ 133 }{ 2 }$ and height $h = \frac{ 79 }{ 2 }$. | 3 |
| 1800 | Find the height $ h $ of a trapezoid if short base $b = 24$, height $h = 37$ and area $A = 145$. | 3 |
