Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1701 | Find the long base $ a $ of a trapezoid if long base $a = 21$. | 3 |
| 1702 | Find the short base $ b $ of a trapezoid if height $h = 30$, median $m = 45$ and angle $\alpha = 45^o$. | 3 |
| 1703 | Find the short base $ b $ of a trapezoid if long base $a = 70$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 3 |
| 1704 | Find the of a trapezoid if long base $a = 96$, short base $b = 48$ and side $c = \frac{ 208 }{ 5 }$. | 3 |
| 1705 | 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 |
| 1706 | Find the long base $ a $ of a trapezoid if long base $a = 96$, short base $b = 48$ and side $c = \frac{ 208 }{ 5 }$. | 3 |
| 1707 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 69 }{ 2 }$, short base $b = 18$ and height $h = 42$. | 3 |
| 1708 | 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 |
| 1709 | 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 |
| 1710 | Find the of a trapezoid if long base $a = \frac{ 631 }{ 8 }$, short base $b = \frac{ 1261 }{ 16 }$ and side $c = 32$. | 3 |
| 1711 | Find the long base $ a $ of a trapezoid if long base $a = 25$, short base $b = 15$ and height $h = 6$. | 3 |
| 1712 | 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 |
| 1713 | 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 |
| 1714 | Find the long base $ a $ of a trapezoid if long base $a = 5$, height $h = \frac{ 117 }{ 100 }$ and angle $\alpha = 45^o$. | 3 |
| 1715 | 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 |
| 1716 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 7 }{ 2 }$ and area $A = \frac{ 2121 }{ 40 }$. | 3 |
| 1717 | Find the long base $ a $ of a trapezoid if long base $a = 48$ and angle $\alpha = 45^o$. | 3 |
| 1718 | 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 |
| 1719 | Find the of a trapezoid if long base $a = 48$, short base $b = 24$ and side $c = 72$. | 3 |
| 1720 | 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 |
| 1721 | Find the long base $ a $ of a trapezoid if short base $b = 2$, side $c = \frac{ 15 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1722 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 12$ and height $h = 12$. | 3 |
| 1723 | Find the of a trapezoid if long base $a = 15$, short base $b = 12$ and height $h = 12$. | 3 |
| 1724 | Find the short base $ b $ of a trapezoid if long base $a = 5$, side $c = 17$ and angle $\alpha = 90^o$. | 3 |
| 1725 | Find the height $ h $ of a trapezoid if long base $a = 30$ and side $c = 26$. | 3 |
| 1726 | Find the height $ h $ of a trapezoid if long base $a = 30$, short base $b = 14$ and side $c = 26$. | 3 |
| 1727 | 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 |
| 1728 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 7$ and height $h = \frac{ 747 }{ 10 }$. | 3 |
| 1729 | Find the short base $ b $ of a trapezoid if long base $a = 18$, height $h = 12$ and angle $\alpha = \frac{ 85789 }{ 1000 }^o$. | 3 |
| 1730 | 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 |
| 1731 | Find the angle $ \beta $ of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 3 |
| 1732 | 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 |
| 1733 | 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 |
| 1734 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\beta = 94^o$. | 3 |
| 1735 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 86^o$. | 3 |
| 1736 | Find the short base $ b $ of a trapezoid if long base $a = 176$, height $h = 230$ and angle $\alpha = 94^o$. | 3 |
| 1737 | Find the of a trapezoid if long base $a = 66$, short base $b = \frac{ 32997 }{ 500 }$ and height $h = 24$. | 3 |
| 1738 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\beta = 14^o$. | 3 |
| 1739 | Find the side $ c $ of a trapezoid if long base $a = 43$, height $h = \frac{ 53 }{ 4 }$ and angle $\alpha = 90^o$. | 3 |
| 1740 | Find the short base $ b $ of a trapezoid if long base $a = 3$, height $h = \frac{ 3 }{ 2 }$ and angle $\alpha = 45^o$. | 3 |
| 1741 | Find the long base $ a $ of a trapezoid if long base $a = 48$, side $c = 24$ and angle $\alpha = 45^o$. | 3 |
| 1742 | Find the long base $ a $ of a trapezoid if long base $a = 55$, short base $b = 30$ and angle $\alpha = 45^o$. | 3 |
| 1743 | Find the long base $ a $ of a trapezoid if short base $b = 25$, side $c = 15$ and height $h = 8$. | 3 |
| 1744 | Find the long base $ a $ of a trapezoid if long base $a = 32$, short base $b = 18$ and height $h = 12$. | 3 |
| 1745 | Find the long base $ a $ of a trapezoid if height $h = 125$, median $m = 1600$ and angle $\alpha = \frac{ 45 }{ 2 }^o$. | 3 |
| 1746 | Find the of a trapezoid if long base $a = 22$, short base $b = 12$ and side $c = 10$. | 3 |
| 1747 | Find the of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1748 | Find the angle $ \beta $ of a trapezoid if short base $b = 12$, side $c = 24$, height $h = 21$ and angle $\alpha = 60^o$. | 3 |
| 1749 | Find the long base $ a $ of a trapezoid if long base $a = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 3 |
| 1750 | Find the long base $ a $ of a trapezoid if height $h = \frac{ 34 }{ 25 }$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 3 |
