Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1651 | Find the of a trapezoid if long base $a = 36$, short base $b = 24$ and side $c = 60$. | 3 |
| 1652 | 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 |
| 1653 | 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 |
| 1654 | Find the angle $ \beta $ of a trapezoid if long base $a = 22$, short base $b = 16$ and height $h = \frac{ 55 }{ 2 }$. | 3 |
| 1655 | Find the angle $ \beta $ of a trapezoid if long base $a = 16$, short base $b = 10$ and side $c = 8$. | 3 |
| 1656 | Find the short base $ b $ of a trapezoid if long base $a = 50$ and angle $\alpha = 74^o$. | 3 |
| 1657 | 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 |
| 1658 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 147$ and side $c = 900$. | 3 |
| 1659 | Find the short base $ b $ of a trapezoid if long base $a = 60$, height $h = 19$ and angle $\alpha = 84^o$. | 3 |
| 1660 | 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 |
| 1661 | Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = \frac{ 23 }{ 5 }$ and angle $\beta = 120^o$. | 3 |
| 1662 | Find the long base $ a $ of a trapezoid if long base $a = 90$, short base $b = 75$ and height $h = 72$. | 3 |
| 1663 | 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 |
| 1664 | Find the side $ c $ of a trapezoid if long base $a = 1000$, short base $b = 600$ and height $h = 400$. | 3 |
| 1665 | Find the side $ c $ of a trapezoid if long base $a = 40$, short base $b = 5$ and height $h = 15$. | 3 |
| 1666 | 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 |
| 1667 | Find the area $ A $ of a trapezoid if long base $a = 2687$, short base $b = 2353$ and height $h = 4780$. | 3 |
| 1668 | Find the area $ A $ of a trapezoid if long base $a = 3262$, short base $b = 2727$ and height $h = 2688$. | 3 |
| 1669 | Find the height $ h $ of a trapezoid if long base $a = 37$, short base $b = 29$ and side $c = 46$. | 3 |
| 1670 | 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 |
| 1671 | Find the short base $ b $ of a trapezoid if long base $a = 17$, height $h = 4$ and angle $\alpha = 45^o$. | 3 |
| 1672 | Find the height $ h $ of a trapezoid if long base $a = 15$, short base $b = 9$ and side $c = 4$. | 3 |
| 1673 | 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 |
| 1674 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 4$, side $c = 200$ and diagonal $d = 200$. | 3 |
| 1675 | Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 4$ and side $c = 200$. | 3 |
| 1676 | 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 |
| 1677 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 7$ and height $h = 46$. | 3 |
| 1678 | Find the of a trapezoid if long base $a = 24$, short base $b = 18$ and height $h = 6$. | 3 |
| 1679 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 6$ and height $h = 7$. | 3 |
| 1680 | Find the long base $ a $ of a trapezoid if long base $a = 56$, short base $b = 36$ and side $c = 132$. | 3 |
| 1681 | Find the of a trapezoid if long base $a = \frac{ 551 }{ 20 }$, short base $b = \frac{ 1343 }{ 50 }$ and height $h = 5$. | 3 |
| 1682 | Find the short base $ b $ of a trapezoid if long base $a = 14$, height $h = 20$ and area $A = 182$. | 3 |
| 1683 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 4$ and height $h = \frac{ 27 }{ 4 }$. | 3 |
| 1684 | 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 |
| 1685 | 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 |
| 1686 | 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 |
| 1687 | 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 |
| 1688 | Find the long base $ a $ of a trapezoid if long base $a = 130$. | 3 |
| 1689 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 6$ and side $c = 8$. | 3 |
| 1690 | Find the diagonal $ d $ of a trapezoid if long base $a = 9$, short base $b = 7$ and side $c = 11$. | 3 |
| 1691 | 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 |
| 1692 | Find the height $ h $ of a trapezoid if short base $b = 24$, height $h = 37$ and area $A = 145$. | 3 |
| 1693 | Find the area $ A $ of a trapezoid if height $h = 4$ and median $m = 6$. | 3 |
| 1694 | Find the median $ m $ of a trapezoid if long base $a = 11$ and short base $b = \frac{ 11 }{ 2 }$. | 3 |
| 1695 | Find the perimeter $ P $ of a trapezoid if long base $a = 8$, side $c = 7$ and diagonal $d = 9$. | 3 |
| 1696 | Find the long base $ a $ of a trapezoid if short base $b = 6$, height $h = 4$ and area $A = 36$. | 3 |
| 1697 | Find the short base $ b $ of a trapezoid if long base $a = 138$, angle $\alpha = 90^o$ and angle $\beta = 15^o$. | 3 |
| 1698 | Find the long base $ a $ of a trapezoid if side $c = 5$, diagonal $d = 8$ and median $m = 7$. | 3 |
| 1699 | Find the perimeter $ P $ of a trapezoid if side $c = 5$, diagonal $d = 8$ and median $m = 7$. | 3 |
| 1700 | Find the height $ h $ of a trapezoid if long base $a = 20$, short base $b = 10$ and angle $\alpha = 80^o$. | 3 |
