Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1801 | Find the area $ A $ of a trapezoid if height $h = 4$ and median $m = 6$. | 3 |
| 1802 | Find the median $ m $ of a trapezoid if long base $a = 11$ and short base $b = \frac{ 11 }{ 2 }$. | 3 |
| 1803 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, side $c = 7$ and diagonal $d = 9$. | 3 |
| 1804 | Find the long base $ a $ of a trapezoid if short base $b = 6$, height $h = 4$ and area $A = 36$. | 3 |
| 1805 | Find the short base $ b $ of a trapezoid if long base $a = 138$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 3 |
| 1806 | Find the long base $ a $ of a trapezoid if side $c = 5$, diagonal $d = 8$ and median $m = 7$. | 3 |
| 1807 | Find the perimeter $ P $ of a trapezoid if side $c = 5$, diagonal $d = 8$ and median $m = 7$. | 3 |
| 1808 | Find the height $ h $ of a trapezoid if long base $a = 20$, short base $b = 10$ and angle $\alpha = 80^o$. | 3 |
| 1809 | Find the long base $ a $ of a trapezoid if long base $a = 21$. | 3 |
| 1810 | Find the short base $ b $ of a trapezoid if height $h = 30$, median $m = 45$ and angle $\alpha = 45^o$. | 3 |
| 1811 | Find the short base $ b $ of a trapezoid if long base $a = 70$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1812 | Find the of a trapezoid if long base $a = 96$, short base $b = 48$ and side $c = \frac{ 208 }{ 5 }$. | 3 |
| 1813 | Find the long base $ a $ of a trapezoid if long base $a = 48$, side $c = 4$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1814 | Find the long base $ a $ of a trapezoid if long base $a = 96$, short base $b = 48$ and side $c = \frac{ 208 }{ 5 }$. | 3 |
| 1815 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 69 }{ 2 }$, short base $b = 18$ and height $h = 42$. | 3 |
| 1816 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 8$, side $c = 3$ and height $h = 5$. | 3 |
| 1817 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 143 }{ 4 }$, short base $b = 7$ and height $h = \frac{ 21 }{ 2 }$. | 3 |
| 1818 | Find the of a trapezoid if long base $a = \frac{ 631 }{ 8 }$, short base $b = \frac{ 1261 }{ 16 }$ and side $c = 32$. | 3 |
| 1819 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and height $h = 6$. | 3 |
| 1820 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 2 }$, height $h = \frac{ 1 }{ 3 }$ and area $A = 300$. | 3 |
| 1821 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 225 }{ 4 }$, short base $b = 55$ and side $c = \frac{ 133 }{ 2 }$. | 3 |
| 1822 | Find the long base $ a $ of a trapezoid if long base $a = 5$, height $h = \frac{ 117 }{ 100 }$ and angle $\alpha = 45^o$. | 3 |
| 1823 | Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = \frac{ 47 }{ 5 }$ and area $A = \frac{ 1651 }{ 10 }$. | 3 |
| 1824 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$ and area $A = \frac{ 2121 }{ 40 }$. | 3 |
| 1825 | Find the long base $ a $ of a trapezoid if long base $a = 48$ and angle $\alpha = 45^o$. | 3 |
| 1826 | Find the long base $ a $ of a trapezoid if long base $a = 16$, short base $b = 8$, side $c = 8$ and perimeter $P = 40$. | 3 |
| 1827 | Find the of a trapezoid if long base $a = 48$, short base $b = 24$ and side $c = 72$. | 3 |
| 1828 | Find the of a trapezoid if long base $a = \frac{ 43 }{ 10 }$, short base $b = \frac{ 77 }{ 25 }$, side $c = \frac{ 9 }{ 2 }$ and height $h = \frac{ 9 }{ 2 }$. | 3 |
| 1829 | Find the long base $ a $ of a trapezoid if short base $b = 2$, side $c = \frac{ 15 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1830 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 12$ and height $h = 12$. | 3 |
| 1831 | Find the of a trapezoid if long base $a = 15$, short base $b = 12$ and height $h = 12$. | 3 |
| 1832 | Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 17$ and angle $\alpha = 90^o$. | 3 |
| 1833 | Find the height $ h $ of a trapezoid if long base $a = 30$ and side $c = 26$. | 3 |
| 1834 | Find the height $ h $ of a trapezoid if long base $a = 30$, short base $b = 14$ and side $c = 26$. | 3 |
| 1835 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 37 }{ 10 }$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 43 }{ 10 }$. | 3 |
| 1836 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 7$ and height $h = \frac{ 747 }{ 10 }$. | 3 |
| 1837 | Find the short base $ b $ of a trapezoid if long base $a = 18$, height $h = 12$ and angle $\alpha = \frac{ 85789 }{ 1000 }^o$. | 3 |
| 1838 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$, side $c = \frac{ 7 }{ 8 }$, height $h = \frac{ 7 }{ 8 }$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1839 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 3 |
| 1840 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, height $h = \frac{ 189 }{ 10 }$ and angle $\alpha = 60^o$. | 3 |
| 1841 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 77 }{ 2 }$, diagonal $d = \frac{ 77 }{ 2 }$ and height $h = \frac{ 189 }{ 10 }$. | 3 |
| 1842 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\beta = 94^o$. | 3 |
| 1843 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 86^o$. | 3 |
| 1844 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 94^o$. | 3 |
| 1845 | Find the of a trapezoid if long base $a = 66$, short base $b = \frac{ 32997 }{ 500 }$ and height $h = 24$. | 3 |
| 1846 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\beta = 14^o$. | 3 |
| 1847 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 1848 | Find the short base $ b $ of a trapezoid if long base $a = 3$, height $h = \frac{ 3 }{ 2 }$ and angle $\alpha = 45^o$. | 3 |
| 1849 | Find the long base $ a $ of a trapezoid if long base $a = 48$, side $c = 24$ and angle $\alpha = 45^o$. | 3 |
| 1850 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and angle $\alpha = 45^o$. | 3 |
